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Ibrahim Rahimov, Ph.D., Doctor of Sciences
PERSONAL INFORMATION
Mailing Address: Department of Mathematical Sciences
King Fahd University of Petroleum and Minerals
Box 1339, Dhahran, Saudi Arabia 31261
Phone: 966(3) 860 3174 (W) / 860 5230 (H)
Fax: 966 (3) 860 2340 (W)
Email: rahimov@kfupm.edu.sa
Sex: Male
Marital Status: Married, Three Children
Citizenship: Uzbek
MAJOR FIELD OF SPECIALIZATION: Probability and Statistics
AREAS OF RESEARCH INTEREST: Branching Stochastic Processes
Statistics of Branching Processes
Markov Branching Diffusions
Random Sums
ESSENTIAL BACKGROUND
A1. EDUCATION
1991 Doctor of Physical and Mathematical Sciences
Steklov Mathematical Institute of
USSR Academy of Sciences
Moscow, Former USSR
19761979 Ph.D. in Mathematics (1979)
Romanovski Mathematical Institute of
Uzbek Academy of Sciences
Tashkent, Uzbekistan, former USSR
19741976 M. Sc. in Mathematics (1976),
Romanovski Mathematical Institute of
Uzbek Academy of Sciences, Tashkent.
19671972 B. Sc. in Mathematics
Fergana State University, Fergana, former USSR
A2. EMPLOYMENT
A) Research Positions:
Leading researcher
The Mathematical Institute of
Uzbek Academy of Sciences (on leave)
19801990 Senior researcher
The Mathematical Institute of
Uzbek Academy of Sciences
19741976 Fellow researcher
The Mathematical Institute of
Uzbek Academy of Sciences
B) Positions at Universities:
01.01.2001 to date Professor of Mathematics and Statistics
Department of Mathematical Sciences
KFUPM, Dhahran, Saudi Arabia
19982001 Associate Professor
Department of Mathematical Sciences
KFUPM, Dhahran, Saudi Arabia.
19961997 Associate Professor
School of Mathematical Sciences
University Science Malaysia
Penang, Malaysia.
19931995 Full Professor
The Middle East Technical University,
Ankara, Turkey
19911993 Full Professor
Tashkent State University of Economics
Tashkent, Uzbekistan
19901991 Associate Professor
The Tashkent State University
Tashkent, Uzbekistan.
19871988 Associate Professor
Tashkent State University of Economics
Tashkent, Uzbekistan
19771978 Lecturer
Tashkent Road Institute
Tashkent, Uzbekistan
19721974 Lecturer
Fergana State University
Fergana, Uzbekistan
It should be noted that the position of senior researcher in the Academy of Sciences is equivalent of the Associate Professor rank and the leading researcher is equivalent of the Full Professor rank at an university. This explains why I was appointed as Associate Professor in 1987 and as Full Professor in 1991 at Tashkent State University of Economics and during 19931996 I held a Full Professor position at Middle East Technical University, Ankara, Turkey.
A3. MAJOR AWARDS AND SCHOLARSHIPS
1. A Silver medal for achievements and excellent results in study, Fergana, USSR, 1968.
2. Romanovski Award for the best scientific results by yang researchers, USSR , 1978.
3. A grant from ISI Tokyo Session Memorial Program to participate at 51st ISI Session. The Institute of Statistical Research, Tokyo, Japan, 1997.
4. Distinguished Researcher Award for 20052006 years, KFUPM, May, 2006.
I never had a scholarship since the education in my country used to be free.
A4. IMPORTANT COURSE WORKS
Successfully completed about twenty courses including Applied Stochastic Processes (for PhD students), Statistical Theory I and II , Linear Models, Stochastic Processes (for master students), Advanced Probability Theory, Mathematical Statistics, Multivariate Statistical Analysis, Applied Statistics Finite Mathematics, Calculus I, II and Consulting.
A5. ABOUT PH.D AND DOCTOR OF SCIENSES THESES
Ph.D. Thesis.
The Ph. D. dissertation Branching Stochastic Processes with TimeDependent Immigration was based on the research done until 1979 and on the publications C4, 1977 and C3, 1978 [1][6]. In this research first limit theorems for branching processes with nonstationary immigration were obtained. The thesis was defended at Romanovski Mathematical Institute in April 1979 earlier than appointed time in the Ph.D. program. The Supervisor: Professor I. Badalbaev.
b) Doctor of Physical and Mathematical Sciences Thesis.
A Doctor of Sciences thesis is required to contain at least one of the following.
It must open a new direction in the area of the research, it must give a solution of a difficult long standing problem or it must suggest an essentially new method of investigation.
My Doctor of Sciences Thesis Summation of a Random Number of Random Variables and Branching Stochastic Processes is based on the research done from 1980 to 1990. It contains a new approach to study of branching stochastic processes based on the theory of summation of dependent random variables. The thesis was defended in June 1991 at Steklov Mathematical Institute of USSR Academy of Sciences. Professors B. A. Sevastyanov, V.M. Shurenkov and V. Topchiy are Official Opponents. The Mech. Math . Department of Moscow State University is the Refereeing Institution.
By the Official opponents and by the Permanent Jury of Steklov Mathematical Institute the approach suggested in the thesis was judged as a new method of study in the theory of stochastic processes.
The Jury of Steklov Mathematical Institute which considered my thesis:
Professor Prokhorov Yu. V., 8. Professor Gonchar A. A.
Professor Nikolski S. M. 9. Professor Kozlov V. A.
Professor Stechkin S. B. 10. Professor Kudryavtsev L. D.
Professor Chibisov D. M. 11. Professor Rozanov Yu. A.
Professor Kholevo A. S. 12. Professor Sazonov V. V.
Professor Borovkov A. A. 13. Professor Sevastyanov B. A.
Professor Vitushkin A. G. 14. Professor Shiryayev A. N.
A6. KNOWLEDGE OF COMPUTING
SPSS, SAS, Minitab, Statistica, Excel, Plain Tex, Latex, Microsoft Word
A7. WORKSHOPS/ COURSES ATTENDED
Courses of English, Turkish, Bahasa Malay, 19931997
Workshop on Graphic Calculators, USM, November, 1997
Workshop on evaluating KFUPM, November, 1998
Workshop on Algebra and Applications, KFUPM October, 1999
Workshop on Geostatistics, Research Institute KFUPM 1999
Workshop How to be an Effective University Teacher. KFUPM, 2002.
A8. MEMBERSHIP IN PROFESSIONAL SOCIETIES
Elected Member of International Stat. Institute (Netherlands,1997)
Member of American Mathematical Society (1993present)
Extraordinary Member of Bernoulli Society (1995present)
Member of the Union of Uzbek Mathematicians (1990 present)
Organizer of the meeting of invited papers Population Dynamics with Migration
Effects at 51 st Session of the International Statistical Institute, Istanbul 1997.
A9. EDITORSHIP IN MATHEMATICAL JOURNALS
Associate editor of the "Journal of Applied Statistical Science"
( USA, 1994 ).
Associate editor of the Journal of Statistical Theory and Applications (USA, 2001)
Associate editor of Pakistan Journal of Statistics (1996)
Associate editor of the journal Istatistik (Turkey, 1996)
Referee of Journal of Applied Probability (England, 1996)
Referee of Advances in Applied Probability (England, 1996)
Reviewer of Mathematical Reviews of American Math.
Society (April 1981  present)
TEACHING
B1. TEACHING EXPERIENCES
0. . Department of Mathematical Sciences
KFUPM, Dhahran, Saudi Arabia. Professor of Mathematics and Statistics
2001Date
1. Department of Mathematical Sciences
KFUPM, Dhahran, Saudi Arabia. Associate Professor 19982000
2. School of Mathematical Sciences
University Science Malaysia
Penang, Malaysia.. Associate Professor 19961997
3. The Middle East Technical University,
Ankara, Turkey Full Professor 19931995
4. Tashkent State University of Economics
Tashkent, Uzbekistan Full Professor 19911993
5. The Tashkent State University
Tashkent, Uzbekistan, USSR Associate Professor 19901991
6. Tashkent State University of Economics
Tashkent, Uzbekistan, USSR Associate Professor 19871988
7. Tashkent Road Institute
Tashkent, Uzbekistan, USSR Lecturer 19771978
8. Fergana State University
Fergana, Uzbekistan, USSR Lecturer 19721974
B2. LIST OF COURSES TAUGH BY DR. I. RAHIMOV
Undergraduate Courses
Number theory Fergana State University
Calculus I, II Fergana State University
3. Linear Algebra Fergana State University
4. Introduction to Probability and Math. Statistics. Tashkent Road Institute
Linear Programming Tashkent Economical University
6. Statistics I Tashkent Economical University
7. Statistics II Tashkent Economical University
Probability Theory Tashkent Economical University
9. Math. Statistics Tashkent Economical University
10. Probability, METU, Ankara, Turkey
Mathematical Statistics METU, Ankara, Turkey
Stochastic Processes METU, Ankara, Turkey
13. Multivariate Statistics METU, Ankara, Turkey
14. Finite Mathematics KFUPM, Dhahran
15. Calculus I KFUPM, Dhahran
16. Calculus II KFUPM, Dhahran
17. Calculus III KFUPM, Dhahran
18. Probability and Statistics for engineers and scientists, KFUPM, Dhahran
19. Introduction to statistics KFUPM, Dhahran
20. Business Statistics I KFUPM, Dhahran
II. Graduate Courses
1. Advanced Probability Theory Tashkent State University
2. Stochastic Processes Tashkent State University
3. Statistical Theory I METU, Ankara, Turkey
Statistical Theory II METU, Ankara, Turkey
Applied Stochastic Processes METU, Ankara, Turkey
6. Linear Models USM, Penang, Malaysia
7. Stochastic Processes USM, Penang, Malaysia
B3. Involvement in Thesis Supervision
I was involved in supervision of the following students.
Name of Student Degree Date Completed
S. Kurbanov PhD 1992
A. Teshabaev PhD 1996
Hummieda (USM, Malaysia) Master 1998
Yeoh Hong Beng (USM, Malaysia) Master 1998
H. Hasan (USM, Malaysia) PhD 2002
In addition I was involved in supervision of the following Ph.D. students as a second supervisor Yu. Djuraev (1983), S. Kaverin (1989), R. Salahitdinov (1990) and V. Khalilov (1994). I also was involved in supervision about 67 Master Theses at different Uzbek universities.
B4. COURSE DEVELOPMENT RESPONSIBILITIES
[1] Involved in the development of the proposed BS program with Stochastic processes and Time Series Analysis at the Department of Mathematical Sciences, KFUPM, Saudi Arabia.
[2] Involved in the development of the proposed MS program at the Department of Mathematical Sciences, KFUPM, Saudi Arabia. Responsible in developing a core course Probability Theory and Mathematical Statistics and elective courses Stochastic Processes and Applied Time Series.
[3] Involved in the development of the proposed Ph.D. program at the Department of Mathematical Sciences, KFUPM. Responsible in developing a core course of Advanced
Probability Theory and few elective courses.
B5 COMPUTING ABILITIES
I try to use educational aids in my teaching process. I have been using the following computer software in teaching of various courses: SPSS, SAS, Minitab, Statistica, Excel, Plain Tex, Latex, Microsoft Word. In particular in my Calculus courses at KFUPM I shove students how to create simple programs for calculators and demonstrate possibilities of programmable calculators in solving some problems.
C. RESEARCH
C1. Research Interests
My research interests concern the theory, statistics and applications of branching stochastic processes and diffusions, sampling sums of dependent variables, random sums, and sums of dependent indicators.
The following could be considered as my basic scientific results:
Suggestion of a new scheme of proving limit theorems for sums of a random number of random variables. Demonstration possibilities of this scheme in the case of infinitely divisible limit distributions and sampling sums of dependent variables.
Developing a unified approach to immigration problems in branching processes based on a general limit theory for random superposition of copies of stochastic processes.
Investigation of new functionals of branching processes concerning their genealogical trees, records, exceedances and extreme of family sizes.
These results are included in my Doctor of Physical and Mathematical Sciences thesis submitted in Steklov Mathematical Institute and have been published in the following monographs and articles.
C2. Summary of Research
I have been actively engaged in research since 1977. My research contribution can be categorized into the following:
Sampling and Random Sums.
Sums of Dependent Indicators.
Immigration Problems in Branching Processes.
Functionals and Extreme of Branching Processes
Estimation Theory for Branching Processes
Sampling and Random Sums
It is known that many characteristics of branching stochastic processes can be represented as sums of random number of random variables or random fields. I have suggested a new approach to study such sums based on an idea of their representation as sampling sums of dependent random variables. It turned out that, if we apply this representation to simple random sums, we obtain almost all known and many new results for random sums directly from the representation. Moreover, this representation allows to study branching processes with immigration in cases when reproduction and immigration processes are not independent. It was impossible to treat the latest case by traditional methods of the theory based on generating functions ( see monograph [18], Ch. I, and articles [13], [16] and [17]).
It is known that the sum of n random variables randomly selected from a finite population EMBED Equation.3 , EMBED Equation.3 , of independent random variables in the equiprobable EMBED Equation.3 scheme of sampling without replacement can be represented as
EMBED Equation.3 ,
where EMBED Equation.3 random variables taking values 0 or 1. Here EMBED Equation.3 and EMBED Equation.3 are independent. Let now vectors EMBED Equation.3 and EMBED Equation.3 are not independent. It is clear that this scheme (under some assumptions) includes, for example, the case when the decision about including variable EMBED Equation.3 into the sum depends on the values of EMBED Equation.3 . For such generalized sampling sums I have obtained necessary and sufficient conditions to have a limit distribution, have given an approximation for their distributions and have obtained uniform and nonuniform estimates of the rate of convergence ( see monograph [18 ],Ch. I, papers [2], [5], [9] and [16]). EMBED Equation.3
Necessary and sufficient conditions are obtained for sums of randomly indexed stochastic processes to have a limit distribution in the case when the sequence of indexes and the initial sequence of stochastic processes are not independent. These conditions are extensions of wellknown Anskombe condition to the above sums (see monograph [18] , Ch. I, paper [11] ).
Sums of Dependent Indicators
Sums of dependent indicators appear in many problems of the probability theory, such as random allocations, queueing theory, branching processes and so on. The study of such sums needs a new techniques in each case of dependence. I have considered two kinds of dependent indicators: the case of multivariate functions of independent random variables and the case of arbitrary dependence. Considering sum of a random number of indicators I have found conditions for a Poisson approximation of the distribution and have given an estimation of the rate of convergence in this approximation. This is in the case of first kind of dependence. In the case of arbitrary dependence I have found approximation of the distribution by a mixture of normal distributions. (Monograph [18], Ch. IV, papers [4], [10].
We must note that models considered in the above two directions are not simple generalizations or extensions of known schemes. They are constructed and investigated in connection with various concrete problems in stochastic processes. Hence they found their nontrivial and interesting applications in the directions which we are going to present now.
Immigration Problems
Over the last decade I have developed a unified approach to immigration problems in branching stochastic processes. This approach is based on developing a general limit theory for random superpositions of copies of stochastic processes. Since branching processes maintained by immigration comprise particular cases of this general setup, it provides a unified approach to a variety of problems that had previously been treated in isolation. Moreover, this approach allows to study new models of the immigration process depending of reproduction, that was impossible to treat by traditional methods based on analysis of probability generating functions. Construction, development and applications of this approach can be seen in my monograph [18], Ch. I and II, and in articles [12], [13], [15] and [22]..
In the case of nonstationary immigration process a perfect description of the asymptotic behavior of the number of particles have been constructed. Some new properties of the limit behavior of the process have been discovered and the causes of these effects are explained. Local limit theorems in the nonclassical situation (when nondegenerate limit distributions for the number of particles come out by functional nonlinear normalization) are also proved. These results which are published in monograph [18], Ch III and in papers [3], [7], [8] and [14 ] have been applied in treatment of various problems in Biology [25 ], [27], in Physics [26], and other areas.
Functionals and Extreme of Branching Processes
The main object of investigation in the theory of branching processes is the number of individuals (particles) at a given time. Since this number can be represented as sum of independent processes shifted over time, the problem can be reduced to the analysis of equations for probability generating functions. However there are many other characteristics of the process which can not be written as such sums and, therefore, can not be treated by the generating function techniques. Applying result obtained for sums of dependent indicators (see part 2), makes possible to study various new characteristics of branching processes concerning their genealogy. Connections of these characteristics with problems of allocation of particles into cells are also established. (see [18], ch IV and papers [4] and [10]).
Extreme problems concerning branching processes, such as maximum of family sizes in the process, records and exceedances of the sequence of branching processes are stated and methods for study of these processes are developed. (Papers [19], [20], [21], [23], and [24]).
Estimation Theory for Branching Processes
Estimation theory of parameters of branching processes is very important part of statistical theory for stochastic processes. Since properties of branching processes strictly depend on the average number of descendants of one individual, it is important to give an estimator for it based on observed values of the process. However, in the critical and subcritical cases it is difficult, because such processes extinct with probability 1. One of ways to avoid this difficulty is to consider processes with immigration. But, if we consider a stationary immigration, in the critical and subcritical cases the process may be suppressed by immigration. Therefore it is better to consider decreasing or statedependent (more complicated) immigration component. Considering subcritical processes with statedependent immigration I have given consistent and asymptotically unbiased estimators for the offspring and immigration averages. It was also shown that these estimators are asymptotically normal. I have suggested consistent and asymptotically unbiased estimators for the expectation and variance of the limit distribution and also for the probability of hitting the state zero by the process. These results were published in [6]. One may observe a rise of interest to this kind problems after more than ten years [28].
REFERENCES
[1]* Rahimov, I., On the limit theorems for a sequence of branching processes with nonhomogeneous immigration. THEORY OF PROBAB. AND APPL. 1984, N4, (Russian and English trans.).
[2] Rahimov, I., Uniform estimates in the limit theorems for branching processes with immigration, IZVESTIYA of AS of UzSSR 1984, No4, 2429 (Russian).
[3]* Rahimov, I., Critical branching processes with infinite variance and decreasing immigration. THEORY OF PROBAB. AND APPL. 1986, v.31, No1, 98110 (Russian and English ).
[4]* Rahimov I., Limit theorems for random sums of dependent indicators and their applications in the theory of branching processes. THEORY OF PROBAB. AND APPL. 1987, v.32, N2, 317326, (Russian and English)
[5] Rahimov, I., On approximation of the distribution of the sum of a random number of random terms, DOKL.of AS of UzSSR, 1987, No1, 57 (Russian).
[6] Rahimov, I., Statistical estimates for parameters of a subcritical GaltonWatson processes with a reflecting screen. PROBABILITY MODELS AND MATHEM. STATIST. Tashkent, 1987, 7687 (Russian.).
[7]* Rahimov, I., Local limit theorems for branching random processes with decreasing immigration. THEORY OF PROBAB. AND APPL. 1988, V.33, No2, 387392 (Russian and English trans.).
[8] Rahimov, I., A local theorem for GaltonWatson processes with immigration in the case of uniform limit distribution, SERDICA , 1988. V14, No3, 234244 (Russian).
[9]* Rahimov, I., Sirazhdinov S. Kh., Approximation of distribution of a sum in a certain scheme for summation of independent random variables. SOVIET MATH. DOKL. Vol.38, 1989, No1, 2327 (English)
[10]* Rahimov, I., Asymptotic behavior of families of particles in branching random processes. SOVIET MATH.DOKL.,Vol.39, 1989, N2, 322325 (English).
[11] Rahimov, I., Asymptotic behavior of the sum of randomly indexed processes, In the book ASYMPTOTIC PROBLEMS OF PROBABILITY THEORY AND MATH. STATIST. Fan, Tashkent, 1990, 7992 (Russian).
[12]* Rahimov, I., The General branching processes with immigration depending on reproduction, THEORY OF PROBAB. AND APPL., 1992, V. 37, No 3, 513525 (Russian and English ).
[13]* Rahimov, I., Sampling sums of dependent random variables, mixtures of infinitely divisible laws and branching random processes, DISCRETE MATH. AND APPL., 1992, V.2, No3, 337356 (English).
[14]*Rahimov, I., Critical Processes with infinite variance and increasing immigration , MATHEMATICAL NOTES, 1993, V.53, No 6, P.97107, (Russian and English ).
[15]* Rahimov, I., Branching Processes as a Sums of Dependent Random Variables., BRANCHING PROCESSES, First World Congress, 1993, Varna, Bulgaria. SpringerVerlag, Ser. LNS, Vol. 99, 1995, p. 5866, Editor Ch. Heyde, (English).
[16]* Rahimov, I., Weak convergence of certain multiple sums of dependent random variables. Probabilistic Methods in Discrete Mathematics, Progr. Pure Appl. Discrete Math., 1, VSP, Utrecht, 1993, 376385 (Russian and English).
[17] Rahimov, I., Mixtures of Infinitely Divisible Laws as Limit Distributions for a Special Form Multiple Sums, UZBEK MATHEMATICAL JOURNAL, 1994, No 4, P. 4350 (Russian).
[18] Rahimov, I., Random Sums and Branching Stochastic Processes, SPRINGER VERLAG, LNS, V. 96, 1995. (English).
[19]* Rahimov, I., Record values of a family of branching processes, Classical and Modern Branching Processes, SpringerVerlag, Ser.IMA Volumes in Mathematics and its Applications, Vol. 84, 1996, Editors K. Athreya and P Jagers, P. 285295. (English).
[20]* Rahimov, I., Yanev, G., Maximal Number of Direct Offspring in Simple Branching Processes, NONLINEAR ANALYSIS, 1997, V.30, No 4, p.20152023. (English),
[21]* Rahimov, I., Kassim, S. Record Values Concerning a Family of AgeDependent Processes, THE BULLETIN OF THE MALAYSIAN MATHEMATICAL SOCIETY, 1997, Vol. 20, No. 2, 5766. ( English).
[22]* Rahimov, I., Multitype Processes with ReproductionDependent Immigration, JOURNAL OF APPLIED PROBABILITY, 1998, V. 35, No. 2, P. 281292 (English).
[23]* Rahimov, I., Yanev, G., On Maximum Family Size in Branching Processes, JOURNAL OF APPLIED PROBABILITY, (Accepted for publication, will appear in 1999, English).
[24]* Rahimov, I., Hasan, H., Limit Theorems for Exceedances of a Sequence of Branching Processes, THE BULLETIN OF THE MALAYSIAN MATHEMATICAL SOCIETY, (Accepted for publication, will appear in 1999, English).
[25] Berlin, Y. A., Drobnitsky, D., O., et all., On Inherited Fertility in Biological Systems, Biosystems, 1992, V. 26, No. 3, p. 185192.
[26] Berlin, Y. A., Drobnitsky, D., O., et all., Correlated Fluctuations in Multielement Systems, Physical Review A, 1992, Vol. 45, No. 6, p. 35473552.
[27] Lange, K., Fan, R., Z., Branching Process Models for MutantGenes in Nonstationary Populations. Theoretical Population Biology, 1997, V. 51, No. 2, P. 118133.
[28] Jacob C., Peccoud J., Estimation of the Parameters of Branching Process from Migration Binomial Observations, Advances in Applied Probability, 1998, V. 30, No. 4, p. 948967.
C3. Works in Progress
My current research concerns the following directions.
Multivariate Random Sums.
Let EMBED Equation.3 be a random sum of EMBED Equation.3 random vectors EMBED Equation.3 , where EMBED Equation.3 are not necessarily independent of EMBED Equation.3 . In the case when EMBED Equation.3 are random variables and EMBED Equation.3 are stopping times with respect to the filtration generated by EMBED Equation.3 , it was shown that the investigation of the random sum EMBED Equation.3 could be reduced to study of a simple sum of dependent variables (see Monograph [1] C3). It is interesting to consider such a problem in the case of random vectors. Results, which are going to be obtained in this direction, will be applied in investigation of sampling sums of dependent vectors, multivariate random walks, random fields and multitype general branching processes.
b) ImmigrationBranching Diffusions
ImmigrationBranching Diffusions are models of a population process in which offspring move at random on a bounded space throughout their lives according to diffusions. Each member of the population at the end of its life generates a new population whose members may be located at any point of the space. In addition a random number of new particles may immigrate into the population. Currently the theory of such processes contains many results in the case when diffusion, reproduction and immigration processes are independent. It is important to develop methods of investigation for processes allowing dependence of the above three components. Here I hope that an approach suggested in the article [1], 1992, C4 and in the book [1], C3 will allow to consider such a generalization.
Extreme Concerning Branching Processes
First results on the size of largest family in GaltonWatson processes were obtained in the paper [2], 1997, C4 (see also [3], 1998, C4). Similar problem for GaltonWatson processes allowing immigration have been considered jointly with my student H. Hummieda. In this direction there are many interesting problems, such as to consider more general models of processes or to consider kth maximal family and other problems.
Another class of problems is to study exceedances and record properties of a sequence of branching processes. First results are obtained in publications [1] 1996, [4] 1997, [2] 1998 C4 and [1], 1996 C6. In particular, investigation of exceedances in this model is a part of Ph.D. program of my student H. Hasan.
C4. Books
[1] Rahimov, I., Random Sums and Branching Stochastic Processes, Springer Verlag, LNS, V. 96, 1995. (English).
[2] Badalbaev, I., S., Rahimov, I., NonHomogeneous Flows of Branching Processes, Tashkent, FAN, 1993, (Russian)
C5. Articles Published or Accepted in Refereed Journals
Until 1991, because of wellknown situation in the former USSR , my scientific results were published mostly in Russian journals. But some of the articles were translated and published in an English language version of the journal as well. Below the star * indicates publications in the international journals which are either in English or translated into English.
1978
[1]* Badalbaev I., Rahimov I., Critical branching processes with immigration decreasing intensity. THEORY OF PROBAB. AND APPL. , 1978, V.23, No 2, 259268, (Russian and English translation).
[2] Badalbev I,. Rahimov I.,Limit theorems for the critical GaltonWatson processes with immigration decreasing intensity, IZVESTIYA of AS of UzSSR, 1978, No2, 914, (Russian).
[3] Badalbaev, I., Rahimov, I., BellmanHarris branching processes with nonhomogeneous immigration.DOKLADI.AS of UzSSR,1978, No 9, 35.(Russian)
[4] Rahimov, I., Some properties of supercritical branching processes with immigration. In the book STOCHASTIC PROCESSES AND MATH. STATIST. Fan, UzSSR,Tashkent, 1978, p. 138143.(Russian)
[5] Rahimov, I., On GaltonWatson processes with increasing immigration. IZVESTIYA of AS of UzSSR, 1978, N4, 2231 (Russian).
[6] Rahimov, I., Some theorems for the continuoustime branching processes with timedependent immigration. In the book INVESTIGATIONS ON THE PHYSICAL AND MATHEMATICAL SCIENCES. Tashkent. 1978, 5763 (Russian).
1979
[1] Ibragimov, R., Rahimov, I., Limit theorems or supercritical multitype GaltonWatson processes, IZVESTIYA of AS of UzSSR, 1979, No1 , 915, (Russian).
[2] Badalbev I., Rahimov, I., Critical agedependent branching processes with immigration decreasing intensity. In the book LIMIT THEOREMS, RANDOM PROCESSES AND APPL. Fan, Tashkent, 1979,4659, (Russian).
[3] Rahimov, I., Supercritical processes with immigration decreasing intensity, In the book LIMIT THEOREMS, RANDOM PROCESSES AND APPL., Fan, Tashkent, 1979, 171179 (Russian).
1981
[1] Badalbaev I., Rahimov, I., Two limit theorems for BellmanHarris processes with immigration, In the book LIMIT THEOREMS FOR RANDOM PROCESSES AND STATISTICAL INFERENCES, Fan, Tashkent, 1981, 1929 (Russian).
[2] Rahimov, I., On branching processes with increasing immigration, DOKL. AS of Uzbek SSR, 1981, No1, 35 (Russian).
[3] Rahimov, I., Juraev, Yu. On transient phenomena in GaltonWatson processes with immigration decreasing intensity, In the book RANDOM PROCESSES AND MATH. STATIST.,Tashkent Pedagogical Inst. 1981, 7688.(Russian).
[4] Rahimov, I., Transient phenomena in branching random processes with immigration, IZVESTIYA of AS of UzSSR,1981,No5, 3035 (Russian).
[5] Rahimov,I.,Juraev,Yu., Transient phenomena in branching processes with immigration decreasing intensity. In the book LIMIT THEOREMS FOR RANDOM PROCESSES AND RELATING PROBLEMS, Fan, Tashkent, 1981, (Russian) .
1982
[1] Rahimov, I., Limit theorems for BellmanHarris processes with immigration, In the book RANDOM PROCESSES AND MATH STAT. Tashkent Pedagogical Inst. 1982, 3645, (Russian).
1983
[1] Rahimov, I.,Subcritical processes with nonhomogeneous immigration, IZVESTIYA of AS of Uz SSR, 1983,No3, 1419, (Russian).
[2]* Badalbaev I., Rahimov, I., Further results on branching processes with immigration decreasing intensity. THEORY OF PROBAB.AND APPL., 1983, N4, 775780, (Russian and English)
1984
[1]* Rahimov, I., On the limit theorems for a sequence of branching processes with nonhomogeneous immigration. THEORY OF PROBAB. AND APPL. 1984, N4, (Russian and English trans.).
[2] Rahimov, I., Limit theorems for total number of particles in critical GaltonWatson processes with immigration, In the book ASYMPTOTIC PROBLEMS OF PROBABILITY DISTRIBUTIONS, Fan, Tashkent, 1984, 106119 (Russian).
[3] Rahimov, I., Uniform estimates in the limit theorems for branching processes with immigration, IZVESTIYA of AS of UzSSR 1984, No4, 2429 (Russian).
[4] Rahimov, I., A limit theorem for multitype agedependent branching processes, IZVESTIYA of AS of UzSSR, 1984, No5, 2840 (Russian).
[5] Rahimov, I., Limit theorems for multitype agedependent branching processes with immigration, DOKL. of AS of UzSSR, 1984, No 4, 35 (Russian).
1985
[1] Badalbaev,I. ,Rahimov, I., New limit theorems for multitype branching processes with immigration decreasing intensity, IZVESTIYA of AS of UzSSR, 1985, No2, 1722, (Russian).
[2] Rahimov, I., Limit distributions for integrals of BellmanHarris processes with nonhomogeneous immigration, IZVESTIYA of AS of Uzbek SSR, 1985, No5, 2025 (Russian).
[3] Rahimov, I., Convergence of a sequence of branching processes with immigration to the Jirina processes. In the book LIMIT THEOREMS FOR PROBABILITY DISTRIBUTIONS, Fan, Tashkent, 1985, 134148, (Russian).
1986
[1]* Rahimov, I., Critical branching processes with infinite variance and decreasing immigration. THEORY OF PROBAB. AND APPL. 1986, v.31, No1, 98110 (Russian and English ).
[2] Rahimov, I., Kaverin, S., Class of limit distributions of critical branching processes with statedependent immigration, DOKL. of AS of UzSSR, 1986, No1, 46, (Russian).
[3] Rahimov, I., Asymptotic behavior of the probability of hitting a fixed state for GaltonWatson processes with decreasing immigration, I, IZVESTIYA of AS of UzSSR, 1986, No2; 3338 (Russian).
[4] Rahimov, I., Asymptotic behavior of probability of hitting a fixed state for GaltonWatson processes with decreasing immigration, II, IZVESTIYA of AS of UzSSR, 1986, No3, 3846 (Russian).
1987
[1]* Rahimov I., Limit theorems for random sums of dependent indicators and their applications in the theory of branching processes. THEORY OF PROBAB. AND APPL. 1987, v.32, N2, 317326, (Russian and English)
[2] Rahimov, I., On approximation of the distribution of the sum of a random number of random terms, DOKL.of AS of UzSSR, 1987, No1, 57 (Russian).
[3] Rahimov, I., Limit theorems for decomposable branching processes with immigration, DOKL. of AS of UzSSR, 1987, No6, 57 (Russian).
[4] Rahimov I., Salahitdinov R., Some generalizations of limit theorems for GaltonWatson processes with infinite variance and decreasing immigration, IZVESTIYA of AS of UzSSR, 1987, No3, 2530 (Russian).
[5] Rahimov I., New limit theorems for GaltonWatson processes with infinite variance, IZVESTIYA of AS of UzSSR, 1987, No4, 2936 (Russian).
[6] Rahimov, I., Kaverin, S., A method for proving limit theorems for branching processes with statedependent immigration, In the book PROBABILITY MODELS AND MATH. STATIST.1987,Fan, Tashkent, 6176 (Russian).
[7] Rahimov, I., Statistical estimates for parameters of a subcritical GaltonWatson processes with a reflecting screen. PROBABILITY MODELS AND MATHEM. STATIST. Tashkent, 1987, 7687 (Russian.).
[8] Rahimov, I., Two limit theorems for multitupe agedependent branching processes with immigration, In the book ASYMPTOTIC METHODS IN MATH. STATIST.,Fan, Tashkent, 1987, 97108, (Russian).
1988
[1]* Rahimov, I., Sirazhitdinov S. Kh. Approximation of distribution of a sum in a certain scheme for summation of independent random variables. DOKL. ACAD. NAUK USSR, Vol.301, 1988, No1, 3134 ( Russian and English).
[2]* Rahimov, I., Local limit theorems for branching random processes with decreasing immigration. THEORY OF PROBAB. AND APPL. 1988, V.33, No2, 387392 (Russian and English trans.).
[3] Rahimov, I., A local theorem for GaltonWatson processes with immigration in the case of uniform limit distribution, SERDICA , 1988. V14, No3, 234244 (Russian).
[4] Rahimov, I., Asymptotic of nonextinction probability of decomposable branching processes with immigration, IZVESTIYA of AS of UzSSR, 1988, No2, 2628 (Russian).
[5] Rahimov, I., Sirazhdinov, S. Kh., Approximation of the distribution of a sum in certain a scheme for summation of independent random variables, In the book ASYMPTOTIC METHODS IN THE PROBABILITY THEORY AND MATH. STATIST. Fan, Tashkent, 1988, 136151, (Russian).
[6] Rahimov, I., Local limit theorem for branching processes with slowly decreasing immigration, In the book ASYMPTOTIC METHODS OF PROBABILITY THEORY AND MATH.STATIST. Fan, Tashkent, 1988, 121136 (Russian).
1989
[1]* Rahimov, I., Asymptotic behavior of families of particles in branching random processes. DOKL. AKAD. NAUK USSR, 305, 1989, No3, 540542 (Russian and English).
[2]* Rahimov, I., Sirazhdinov S. Kh., Approximation of distribution of a sum in a certain scheme for summation of independent random variables. SOVIET MATH. DOKL. Vol.38, 1989, No1, 2327 (English)
[3]* Rahimov, I., Asymptotic behavior of families of particles in branching random processes. SOVIET MATH.DOKL.,Vol.39, 1989, N2, 322325 (English).
[4]* Rahimov, I., On A limit theorem for random sums of dependent indicators, Letter to the editors, THEORY OF PROBAB. AND APPL., V 34, No 3, 613 (1989), (Russian and English).
[5] Rahimov, I., Kurbanov, S., Branching processes with nonhomogeneous migration and infinite variance, In the book FUNCTIONALS OF RANDOM PROCESSES AND STATIST. INFERENCEES, Fan, Tashkent, 1989, 7185 (Russian).
[6] Rahimov, I., Asymptotic behavior of families of particles in branching random processes, In the book FUNCTIONALS OF RANDOM PROCESSES AND STATIS. INFERENCES,Fan, Tashkent, 1989, 5871, (Russian).
[7] Rahimov, I., Branching processes with generalized immigration, IZVESTIYA of AS of UzSSR, 1989, No2, 3540 (Russian).
1990
[1] Rahimov, I., Asymptotic behavior of the sum of randomly indexed processes, In the book ASYMPTOTIC PROBLEMS OF PROBABILITY THEORY AND MATH. STATIST. Fan, Tashkent, 1990, 7992 (Russian).
1991
[1]* Rahimov, I., Sampling sums of dependent variables, mixtures of infinitely divisible distributions and branching stochastic processes. DISCRETE MATHEMATICS, 1991, V. 3, No2, 236257 (Russian and English).
1992
[1]* Rahimov, I., The General branching processes with immigration depending on reproduction, THEORY OF PROBAB. AND APPL., 1992, V. 37, No 3, 513525 (Russian and English ).
[2]* Rahimov, I., Sampling sums of dependent random variables, mixtures of infinitely divisible laws and branching random processes, DISCRETE MATH. AND APPL., 1992, V.2, No3, 337356 (English).
[3] Rahimov, I., Critical BellmanHarris processes with infinite variance and decreasing immigration, UZBEK MATHEMATICAL JOURNAL, 1992, No2, 2231 (Russian).
[4] Rahimov, I., Khalilov, V., Abdullev, A., On multitype branching processes with increasing immigration, UZBEK MATH. JOURNAL, 1992, No 56, 6370, (Russian)
1993
[1]*Rahimov, I., Critical Processes with infinite variance and increasing immigration , MATHEMATICAL NOTES, 1993, V.53, No 6, P.97107, (Russian and English ).
1994
[1] Rahimov, I., Kurbanov, S., Subcritical Branching Processes with Decreasing Immigration and Infinite Variance, UZBEK MATHEMATICAL JOURNAL, 1994, No 1, P. 5157 (Russian).
[2] Rahimov, I., Mixtures of Infinitely Divisible Laws as Limit Distributions for a Special Form Multiple Sums, UZBEK MATHEMATICAL JOURNAL, 1994, No 4, P. 4350 (Russian).
1996
[1]* Rahimov, I., Teshabaev, A., Decomposable branching processes with decreasing immigration, JOURNAL OF APPLIED STATISTICAL SCIENCE, 1996, V.3, No 2/3, P.169190, ( English).
[2]* Rahimov, I., Rosihan, M., Ali, On the Extinction of Families, The ISOSS Bulletin, 1996, No4, p.7 (English).
1997
[2]* Rahimov, I., Kassim, S. Record Values Concerning a Family of AgeDependent Processes, THE BULLETIN OF THE MALAYSIAN MATHEMATICAL SOCIETY, 1997, Vol. 20, No. 2, 5766. ( English).
1998
[1]* Rahimov, I., Multitype Processes with ReproductionDependent Immigration, JOURNAL OF APPLIED PROBABILITY, 1998, V. 35, No. 2, P. 281292 (English).
[2]* Rahimov, I., Hasan, H., Exceedance Problems Concerning a family of Branching Processes, PAKISTAN JOURNAL OF STATISTICS, 1998, V.14, No. 1, P. 3747 , (English).
[3]* Rahimov, I., Hasan, H., Limit Theorems for Exceedances of a Sequence of Branching Processes, BULLETIN OF THE MALAYSIAN MATHEM. SOCIETY, V. 21, 1998, p. 3746, (English).
[4]* Rahimov I., Teshabaev A. Some Limit Theorems for Decomposable Branching Processes, Istatistik, JOURNAL OF TURKISH STAT. ASSOC., 1998, V.1, No 1, p. 2942. (English).
1999
[1]* Rahimov, I., Yanev, G., On Maximum Family Size in Branching Processes, JOURNAL OF APPLIED PROBABILITY, V.36, No 3, p. 632643 (English).
[2]* Rahimov, I., Hasan, H. On the number of productive ancestors in large populations, Istatistik, JOURNAL OF TURKISH STAT. ASSOC., 1999, V.2, No 2, p. 123133. (English).
2000
[1]* Rahimov, I., A Limit Theorem for Multitype General Branching Processes with Generalized Immigration, JOURNAL OF APPLIED STATISTICAL SCIENCES, V.9, No 2, 2000, P.105122. ( English).
[2]* Rahimov I., On the NonExtinction Probability of Branching Diffusions, JOURNAL OF APPLIED STATISTICAL SCIENCES, V.9, No 3, 2000, P. 223236. ( English).
[3]* Rahimov I., AlSabah W. S. Branching processes with decreasing immigration and tribal emigration. A. JOURNAL OF MATH. SC., V.6, No 2, 2000, P. 8197.
2001
[1]* Rahimov I. Approximation of exceedance processes in large populations. STOCHASTIC MODELS, V. 17, No 2, P. 147156.
[2]* Rahimov I., Ahsanullah M. Records generated by total progeny of branching stochastic processes. FAR EAST JOURNAL OF THEORETICAL STATISTICS, V. 5, No 1, 2001, P. 8194.
[3]* Rahimov I., Muttlak H. A. Random ranked set samples. PAK. JOURNAL OF STATISTICS, V.17, No 1, 2001, P. 5166.
2002
[1]* Rahimov I. Limit Distributions for Generalized Reduced Branching Processes. INTERNATIONAL MATHEMATICAL JOURNAL, V.2, No 11, 2002, P. 9991009.
[2]* Rahimov I. Multitype Generalized Reduced Processes. JOURNAL OF STATISTICAL THEORY AND APPLICATIONS, V. 1, No. 3, 2002, P. 149162.
2003
[1] * Rahimov I. Random Sums of Independent Indicators and Generalized Reduced Processes. STOCHASTIC ANALYSIS AND APPLICATIONS, Vol. 21, No 1, 2003, P. 205221.
[2]* Rahimov I., Muttlak H. A. Estimation of the population mean using random selection in ranked set samples. STATISTICS AND PROBABILITY LETTERS, Vol 62, 2003, P. 203209.
[3]* Rahimov I., Ahsanullah M. Records Related to Sequence of Branching Stochastic Processes (a Review). PAK. JOURNAL OF STATISTICS, Vol 19, 2003, No 1, P. 7397 .
[4]* Rahimov I., Muttlak H. A. Investigating the Estimation of the Population Mean Using Random Ranked Set Samples. NONPARAMETRIC STATISTICS, 2003, V 15, No 3, P. 311324.
[5]* Rahimov I., Muttlak H. Random Sum Approach to Study of a Noncritical Branching Model. INTERNATIONAL MATHEMATICAL JOURNAL, 2003, V 3, No 8, P. 863872.
2004
[1]* Rahimov I., Malik M. Asymptotic Bahavior of Expected Record Values. PAK. JOURNAL OF STATISTICS, Vol 20, 2004, No. 1, P. 129135 .
[2]* Rahimov I., Muttlak H. Random Sums of Random Vectors and Multi Type Families of Productive Individuals. INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES , Vol. 2004, No 19, P. 975990.
[3]* Rahimov I., Limit Theorems for the size of Subpopulation of Productive Individuals. STOCHASTIC MODELS, VOL. 20, 2004, no 3, P. 261280.
[4]* Rahimov I. On the Number of Large Families in a Branching population. Dynamical Systems and Applications2004, Proceedings of the Internationl Conference, Antalya, Turkey, July 510, 2004, GBS Publishers & Distributors, P. 582597.
2005
[1]* Rahimov I., Sabah W. Reduction of a continuous state branching stochastic process
to usual processes. STATISTICS AND PROBABILITY LETTERS, (Submitted).
[2]* Rahimov I., Sabah W. Duality Theorems For a Branching Process with Continuous States and Applications. JOURNAL OF APPLIED PROBABILITY (Submitted).
2006
[1]* Rahimov I., Asymptotic Behaviour of a Controlled Branching Process with Continuous State Space. STOCHASTIC ANALYSIS AND APPLICATIONS (Accepted).
[2]* Rahimov I., Functional Limit Theorems for Critical Processes with Immigration"
ADVANCES IN APPLIED PROBABILITY (Submitted).
[3]* Rahimov I., Malik M. Records Generated by Sequence of Branching Processes with immigration. JOURNAL OF APPLIED STATISTICAL ACIENCE. (Accepted).
C6. Dissertations
[1] Limit Theorems for Branching Processes with TimeDependent Immigration, Tashkent, 1978, (PhD Thesis, Russian).
[2] Limit Theorems for Branching Processes with TimeDependent Immigration, (Abstract of PhD Dissertation), Romanovski Math. Institute, Tashkent, 1978. (Russian).
[3] Summation of a Random Number of Random Terms and Branching Stochastic Processes, Steklov Math. Institute, Moscow, 1991, (Doctor of Phisical and Mathematical Sciences Thesis, Russian).
[4] Summation of a Random Number of Random Terms and Branching Stochastic Processes (Abstract of Doctor of Science Dissertation), Steklov Mathematical Institute Moscow, 1991, (Russian).
C7. Papers or Abstracts Published in Conferences
1977
[1] Badalbaev I., Rahimov, I., Some theorems for the continuoustime branching processes with timedependent immigration. Proceedings 2nd Vilnius Conference on Theory of Probab. and Math. Statistics, Vilnius, 1977, (Russian)
1978
[1] Rahimov, I., Critical GaltonWatson processes with increasing immigration. Proceedings of Tashkent Conference of Young Scientists, Tashkent, 1978. (Russian.)
1981
[1] Rahimov, I., Critical processes with nonhomogeneous immigration. IIIth International Vilnius Conference on THEOR. OF PROBAB. AND MATH. STATIST., Vilnius 1981.
1982
[1]* Rahimov, I., On the branching random processes with immigration in a periodic environment. Abst.of Comm.IV USSRJapan Symposium on Probability Theory and Mathematical Statistics V.II, Tbilisi, 1982, 2. (English)
1985
[1] Rahimov, I., Local limit theorems for GaltonWatson processes with decreasing immigration. Abstr. Comm. International Seminar on Mathem. Modelling.and Stability of Stochastic Models. Varna, Bulgaria, 1985, (Russian).
[2] Rahimov, I., Asymptotic of local probability of GaltonWatson processes with decreasing immigration. IVth International Vilnius Conference on Theory of probab. and Math. Statist., Vilnius 1985 (Russian).
1986
[1]* Rahimov, I., Sums of dependent indicators and branching stochastic processes. 1st World Congress of Bernoulli Society. V.1, Tashkent, 1986, (English).
1987
[1] Rahimov, I., Local limit theorems for Markov branching processes in a uniform limit distribution case. International school ERGODIC THEORY OF MARKOV PROCESSES, Kizil, 1987, (Russian).
1989
[1]* Rahimov, I., The methods of summation of random variables in theory of branching processes. V th International Vilnius Conference on THEORY OF PROBAB.AND MATH.STATIST.,Vilnius, 1989, (English).
[2] Rahimov, I., Limit theorems for some characteristics of population in a Markov branching process. International School ERGODIC THEORY OF MARKOV PROCESSES; Kiev,1989, (Russian).
1991
[1]* Rahimov, I., General branching processes with general immigration process. VI USSRJAPAN SYMPOSIUM ON PROBABILITY THEORY AND MATHEM. STATISTICS, Kiev, August, 1991, (English).
1993
[1]* Rahimov, I., Branching Processes as a Sums of Dependent Random Variables., BRANCHING PROCESSES, First World Congress, 1993, Varna, Bulgaria. SpringerVerlag, Ser. LNS, Vol. 99, 1995, p. 5866, Editor Ch. Heyde, (English).
[2]* Rahimov, I., Yildirim, F., Teshabaev, A., Non Homogeneous Decomposable Branching Processes., BRANCHING PROCESSES, First World Congress, Varna, Bulgaria, 1993. SpringerVerlag, Ser. LNS, Vol. 99, 1995, p. 6776, Editor Ch. Heyde, (English).
[3]* Rahimov, I., Weak convergence of certain multiple sums of dependent random variables. Probabilistic Methods in Discrete Mathematics, Progr. Pure Appl. Discrete Math., 1, VSP, Utrecht, 1993, 376385 (Russian and English).
1994
[1]* Rahimov, I., Branching Processes with Immigration., Fourth ISOSS Conference , Lahore, Pakistan, 1994. (English)
[2]* Rahimov, I., Decomposable Branching Processes with Decreasing Immigration. Fourth ISOSS Conference , Lahore, Pakistan, 1994. (English)
[3] Rahimov, I., Record values of a family of branching processes, Classical and Modern Branching Processes, IMA Workshop, (by Invitation only) June , 1994, SpringerVerlag, Ser.IMA Volumes in Mathematics and its Applications, Vol. 84, 1996, Editors K. Athreya and P Jagers, P. 285295. (English).
1996
[1]* Rahimov, I., Random Sums in the Theory of Branching Processes, Second International Workshop in Stochastic Modeling and Experimental Design at St. Petersburg, 1996, P.305309. (Invited Paper, English).
[2]* Rahimov, I., Ahsanullah, M., Record Properties of a Family of Branching Processes, Second International Workshop in Stochastic Modeling and Experimental Design at St. Petersburg, 1996, P.300304. (English).
[3]* Rahimov, I., Summation of a Random Number of Terms and Branching Stochastic Processes, Proceedings of Fifth Conference on Statistical Sciences, Vol. I, 1996, Malang, Indonesia, (English, Invited Paper).
[4]* Rahimov, I., A Transfer Theorem for Multitype Processes and its Applications, Proceedings of the Workshop Recent Development in Applied Statistics, Malang, Indonesia, 1996, (English, Invited Paper).
[5]* Rahimov, I., Hasan, H., On the First Exceedance of a level by Family of Branching Processes, Proceedings of Fifth Conference on Statistical Sciences, Vol. II, 1996, Malang, Indonesia (English).
1997
[1]* Rahimov, I., Yanev, G., Maximal Number of Direct Offspring in Simple Branching Processes, Proceedings of The Second World Congress of Nonlinear Analysis, July 1017, 1996, Athens, Greece, NONLINEAR ANALYSIS, 1997, V.30, No 4, p.20152023. (English, Invited Paper).
[2]* Rahimov, I., Transfer Limit Theorems for Multitype General Branching Processes, 51st Session of the International Statistical Institute, Istanbul, August 1997, Bulletin of the International Statistical Institute, Tome LVII, Book 2, 1997, P. 583584.
[3]* Rahimov, I., On a Transfer Theorem for Multitype General Branching Processes, ATCM 97 (The Second Asian Technology Conference in Mathematics), USM, Penang, Malaysia, 1997, P.8.
[1]* Rahimov, I., A Transfer Theorem for Multitype Processes and its Applications, International Workshop (Malang, Indonesia, 1996) on APPLIED STATISTICAL SCIENCE II, Nova Science Publishers, 1997, P. 3756. (English).
2001
[1]* Rahimov I., Muttlak, H. A. Random Ranked set Samples. Proceedings of the ICCS VII, Lahore, January 2001, P. 145161. (English).
C8. Technical Reports
[1] Rahimov, I., Yanev, N., On a Maximal Sequence Associated with Simple Branching Processes, Preprint, No. 6, PP. 14, August 1996, Institute of Mathematics with Computer Center of Bulgarian Academy of Sciences, Sofia, Bulgaria, (English).
[2] Rahimov, I., Hasan, H., Exceedance Problems Concerning a Family of Branching Processes, Tech. Report No M9/96, November 1996, P.P.S.M., USM, Malaysia (English).
[3] Rahimov, I., Towards the Extinction of ImmigrationBranching Diffusion Processes, Tech. Report No M10/1997, November 1997, P.P.S.M., USM, Malaysia (English).
[4] Rahimov, I., Multitype General Branching Processes with Generalized Immigration, Tech. Report No 230, April, 1998, Dep. Math. Scien. KFUPM (English).
EMBED Equation.3
[5] Rahimov, I., Explicit Limit Distributions for ImmigrationBranching Diffusions, Tech. Report No 239, December, 1998, Dep. Math. Scien. KFUPM (English).
[6] Rahimov, I., Muttlak, H. A. Random Ranked Set Samples, Tech. Report No 256, May, 2000, Dep. Math. Scien. KFUPM (English).
[7] Rahimov, I., Muttlak, H. A. Random Ranked Set Samples with Imperfect Judgment Ranking, Tech. Report No 257, October, 2000, Dep. Math. Scien. KFUPM (English).
C9. Papers Submitted for Publication
[1] Rahimov I. Random Sums of Independent Indicators and Generalized Reduced Processes, Stochastic Analysis and Applications (USA) (Submitted for publication, English).
C10. Invited Papers and Talks
[1]* Rahimov, I., Summation of a Random Number of Terms and Branching Stochastic Processes, Proceedings of Fifth Conference on Statistical Sciences, Vol. I, 1996, Malang, Indonesia, (English, Invited Paper).
[2]* Rahimov, I., Yanev, G., On the Maximal Number of Direct Offspring in Branching Processes, Proceedings of The Second World Congress of Nonlinear Analysis, July 1017, 1996, Athens, Greece, (English, Invited Paper).
[3]* Rahimov, I., A Transfer Theorem for Multitype Processes and its Applications, Proceedings of the Workshop Recent Development in Applied Statistics, Malang, Indonesia, 1996, (English, Invited Paper).
[4]* Rahimov, I., Random Sums in the Theory of Branching Processes, Second International Workshop in Stochastic Modeling and Experimental Design at St. Petersburg, 1996, P.305309. (Invited Paper, English).
[5]* Rahimov I. ImmigrationBranching Diffusions and their extinction, International Conference on Applied Statistical Sciences V, New Jersey, USA, May 2001, Applied Statistical Science Vol. V, 2001, P. 97117 (Invited paper, English)
[6]* Rahimov I. On a Stochastic Model for Continuous Mass Branching Population. MODELLING 2005, Third IMACS Conference on Mathematical Modelling. July 48, 2005, Pilsen, Szech Republic.
C11. Seminars
1.
From 1978 to 1993 I have given one or two seminars a year at Romanovski Mathematical Institute of Uzbek Academy of Sciences.
During those years I have also given at least one seminar a year at Tashkent city weekly meeting of statisticians.
2.
In 1984 and 19891991 I have given one seminar a year at Steklov Mathematical Institute of Academy of Sciences of The USSR.
In 1990 I gave a seminar at Moscow State University, Moscow, USSR.
In 1991 I gave a seminar at Kiev State University, Ukraina.
3.
From 1993 to 1995 I have given one seminar a year at Middle East Technical University, Ankara, Turkey.
In 1993 gave seminars at Khojitepa and Gazi universities, Ankara, Turkey.
5.
In June of 1994 I gave a seminar on Record Values at Minnesota University, Minneapolis, USA.
6.
In 1996 I gave a series of seminars at University of Science Malaysia, Penang.
In 1996 I gave a seminar at Singapore National University, Singapore.
In 1997 I gave a seminar at University Kebangsaan, Kuala Lumpur, Malaysia.
7.
In 1998 I gave a seminar on Effect of Migration in Stochastic Population Processes
at KFUPM, Dhahran.
8.
In February 28, 1999 I gave a seminar on A Remark on Simple Random Sums at KFUP, Dhahran.
9.
In November 21, 1999 I gave a seminar "On a Sum of Random Fields" at KFUPM , Dhahran
C12. Research Project and Grants
19801993
Research project "Limit Theorems for Stochastic Processes and Statistical Inference", Part 1: "Limit Theorems of the Theory of Branching Processes".
During these years my research activity was funded by Uzbek Academy of Sciences and Academy of Sciences of the USSR.
1988
Two weeks visit Varna, Bulgaria including speaking at a Summer School, funded by
Academy of Sciences of the USSR and Bulgarian Academy of Sciences.
19941995
Advanced Fellowship in the NATOCP Science Fellowship Program, 24 months, Middle East Technical University, Ankara, Turkey.
1992
Two weeks visit Rabat, Morocco, including speaking at a conference, funded my Morocco.
1993
Two weeks visit Varna, Bulgaria, funded by TUBITAK, Turkey.
1994
Two weeks visit Minnesota University, Minneapolis, USA, including speaking at a
Conference funded by USA.
1995
One month visit Sofia, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Bulgaria, for giving series of seminars and for joint research work with professor Nick Yanev funded by Bulgarian Academy of Sciences.
Two weeks visit Levke University, Lefkoshe, Cyprus, including speaking at a conference And at a meeting with graduate students, funded by Lefke University, Cyprus.
19961997
Short term (12 months) research project "A forecasting method of defects in networks based on branching processes " funded by the Malaysian Department of Science and Environmental Technology (IRPA).
One week visit professor Louis Chen, Singapore National University, including a talk at the seminar, funded by Singapore National University.
1997
Short term (12 months) Research project "Mathematical modelling of population dynamics and cascades of defects in networks based on branching processes" funded by Malaysian Department of Science and Environmental Technology (IRPA).
20032004
An internal (15 months) Research project " Investigation of a Random Sum of Indicators with Applications in Branching Stochastic Processes" funded by King Fahd University of Petroleum and Minarals, No MS/SOCHASTIC/254.
20052006
A Fast Track (12 months) research project " Branching stochastic Processes with Continuous StateSpace and Immigration in Varying Environment" funded by SABIC, No FT/200501.
20062007
A Fast Track (12 months) research project "Investigation of Branching Processes with Incubation" funded by SABIC No FT/200603.
C13. List of Citations to papers by I. Rahimov:
[1] Jacob C., Peccoud J., Estimation of the Parameters of Branching Process from Migration Binomial Observations, Advances in Applied Probability, 1998, V. 30, No. 4, p. 948967. (To the monograph [1] and paper [7] 1987 Totally 2 citations)
[2] Mitov, K. V. The maximum number of offspring of one particle in a branching process with statedependent immigration, Proc. 27th Spring Conference of the Union of Bulgarian Mathematicians, Pleven, 1998, April 911, p. 9297.
(To the paper [2], 1997)
[3] Lange K., Fan R.Z., BranchingProcess Models for MutantGenes in Nonstationary Populations, Theoretical Population Biology, 1997, Vol. 51. No. 2, p 118133.
(To the monograph [1])
[4] G. P. Yanev, N. P. Yanev Branching Processes with Two Types of Emigration and StateDependent Immigration, In: C.C. Heyde, Y.V. Prohorov, R. Pyke and S. T. Rachev (Eds) Lecture Notes in Statistics, 114, SpringerVerlag, 1996, p. 216227
(To the monograph [1])
[5] Kovalenko, I. M., Kuznetsov, N. Yu., Shurenkov V. M. Models of Random Processes. A Handbook for Mathematicians and Engineers, CRC Press, New York, 1996. (To the paper [1], 1978)
[6] Dion, J. P. Statistical inference for discrete time branching processes. In: Ed. Obretenov, A., Proc. 7th International Summer School on Prob. Theory and Math. Statistics (Varna, 1991). Sci. Cult. Tech. Publ., 1993, Singapore, 60121.
(To the paper [1], 1987)
[7] Berlin, Y. A., Drobnitsky D. O., Goldanskii V. I., Kuzmin, V. V. Correlated Fluctuations in Multielement SystemsThe StochasticBranchingProcess Model, Physical Review A, 1992, Vol. 45, No 6, p. 35473552.
(To the paper [2], 1988)
[8] Berlin, Y. A., Drobnitsky D. O., Goldanskii V. I., Kuzmin, V. V On Inherited Fertility in Biological SystemsA Model of Correlated Fluctuations in the Stochastic Branching Processes, BIOSYSTEMS, 1992, Vol. 26. No. 3, p. 185192
(To the paper [2], 1988)
[9] Vatutin V. A., Zubkov A., M., Branching Processes II, Journal of Soviet Mathematics, 1993, V. 67, No. 6, p. 34073485
(To papers [2], [3], [5],1984; [2], [3], 1985; [1], [2], [3], [4] 1986; [1], [4], [5], [6], [7], [8], 1987; [2], [3], [4], [6], 1988; [1], [5], [6], [7], 1989. Totally 23 citations.)
[10] Logunov P. L. Estimates for the Convergence Rate to the Poisson Distribution for Random Sums of Independent Indicators, Theory of Probability and its Applications, 1990, V. 35, No 3, p 587590.
(To the paper [1], 1987)
[11] Sagitov S. M. A Multidimensional Critical Branching Process Generated by a Large Number of Particles of One Type, Theory of Probability and its Applications, 1990, V. 35, No 1, p. 118130.
(To the paper [1], 1984)
[12] Vatutin V., Zubkov A. M. Branching Processes I, In: Probability Theory, Mathematical Statistics, Theoretical Cibernetics, Itogi Nauki I Tekhniki, Akad. Nauk USSR, /VINITI/, 1985, V. 23, p. 167
(To papers [1], [2], [4], [5], [6], 1978; [1], [2], [3], 1979; [1], [2], [4], 1981; [1], 1983. Totally 12 citations)
[13] Yanev, G.P. and Yanev, N.M. (1999). Limit theorems for branching processes with random migration components. In: Proc. 9th International Summer School on Prob.Theory and Math. Statist. (Sozopol, 1997), Sci. Cult. Tech. Publ., Singapore, (to appear).
(To the Monograph [1])
[14] Iosifescu, Marius, Finite Markov processes and their applications. Wiley Series in Probability and Mathematical Statistics. John Wiley & Sons, Ltd., Chichester; Editura Tehnic\u a, Bucharest, 1980. 295 pp. ISBN:0471276774
(To the paper [1], 1978)
[15] Badalbaev, I., S., Zubkov, A., M. Limit theorems for a sequence of branching processes with immigration, , Theory of Probability and its Applications, 1983, V. 28, No 2, p. 382388.
(To the paper [3], 1978)
[16] Badalbaev, I., S., Pirimkulov Sh. P. A limit theorem for branching processes with immigration of decreasing intensity, IZVESIYA of Uzbek Academy of Sciences, 1981, No 4, p. 58. (To the paper [1], 1978)
[17] Badalbaev I., S., Ganikhodjaev A. N., Some generalizations of limit theorems for branching processes with decreasing immigration, IZVESIYA of Uzbek Academy of Sciences, 1987, No 6, p. 38.
(To the papers [1], [2], 1978)
[18] Badalbaev I., S., Salakhitdinov R. M The rate of convergence in limit theorems for branching processes with decreasing immigration, IZVESIYA of Uzbek Academy of Sciences, 1983, No 5, p. 1016
To the paper [1], 1978)
[19] Badalbaev I., S., Salakhitdinov R. M Generalizations of limit theorems for branching processes with immigration of decreasing intensity, IZVESIYA of Uzbek Academy of Sciences, 1985, No 1, p. 112.
To the paper [1], 1978)
[20] Badalbaev I., S., Salakhitdinov R. M., Estimates of the rate of convergence in limit theorems for branching processes with decreasing immigration, IZVESIYA of Uzbek Academy of Sciences, 1988, No 1, p. 38.
(To the paper [1], 1978)
[21] Ganikhodjaev A. N., Some generalized limit theorems for branching processes with immigration of decreasing intensity (a discrete case). IZVESIYA of Uzbek Academy of Sciences, 1988, No 5, p. 37.
(To the paper [2], 1978)
[22] K.V.Mitov, N.M.Yanev, Critical branching processes with decreasing statedependent immigration, Compt. rendues de l'Acad. Bul. Sci., Vol. 36, No 2., 1983.
(To the papers [1], [2] 1978)
[23] K.V.Mitov, V..Vatutin, N.M.Yanev, Kriticheskie processi GaltonaWatsona s
ubivajushcej immigraciej zavisjashchej ot sostojanija processa. Serdika Bul. Math. Journal, Vol.10, 1984. 412424.
(To the paper [1], 1978)
[24] K.V.Mitov, G.P.Yanev, Maximum family size in branching processes with state
dependent immigration, Math. and Edu. in Math. , Proc. of 28th Spring Conference of UBM, 1999, 142149.
(To the paper [2], 1997)
[25] K.V.Mitov, V.A.Vatutin, N.M.Yanev, Continuous  time branching processes with decreasing state dependent immigration, Advances in Applied . Probability, 16, 1984, 697714.
(to the paper [1], 1978)
[26] K.V.Mitov, N.M.Yanev, Critical branching processes with decreasing state dependent immigration, C.R. de l'Acad. Bul. Sci., 36(2), 82.
(To the paper [1], 1978)
[27] N.M.Yanev, K.V.Mitov, Branching processes with decreasing migration, C.R. de l'Acad. Bul. Sci. 37(4) , 83.
(To the paper [1], 1978)
[28] N.M.Yanev, K.V.Mitov, A critical branching process with decreasing migration., Serdica  Bul. Math. Journal, Vol.11, 1985, p. 240244
(To the paper [1], 1978)
[30] K.V.Mitov, N.M.Yanev. Vetvjashchiesja processi s ubivajushchej immigraciej zavisjashchej ot sostojanija processa. Serdica  Bul.Math.Journal.,Vol.11, 1985, 2541.
(To the paper [1], 1978)
[31] K.V.Mitov, The maximal number of particles in a branching process with statedependent immigration. Proc. of VIII Summer School on Prob. And Statist., Sozopol, Bulgaria, 1997.
(To the paper [2], 1997)
[32] Mitov, K. V., The maximal Number of Particles in a Branching Process with StateDependent Immigration. Pliska Studia Mathematica Bulgarica, 13(2000), 161167.
(To Preprint [3], 1996)
[33] Yanev, G. P. and Yanev, N. M. Limit Theorems for Branching Processes with Random Migration Components. Pliska Studia Mathematica Bulgarica, 13(2000), 199205.
(To the book [1])
[34] Yanev G. P., Tsokos Ch. Family size order statistics in Branching Processes with immigration, Stochastic Anal. Appl., 18, (2000), No 4, P. 655670.
(To the paper [2], 1997)
[35] Nevzorov V. B. "Records: Mathematical Theory" Translations of Mathematical Monographs, V. 194. , 2001
(To the paper [1], 1996 (IMA volumes, v.84) and to the Proceedings of Second International Workshop in Stochastic Modeling , 1996 [1])
[36] Roos B., Pfeifer D. "On the distance between the distributions of random sums, Journal of Applied Probability, V. 40, No. 1, 2003, P. 87107,
(To the Monograph [1], 1995)
[37] K.V. Mitov, A. G. Pakes, G. P. Yanev. Extreme of geometric variables with applications to branching processes. Statistics and Probability Letters, 2003, 65, No. 4, P. 379388.
(To paper [1], 1999 and [1] in Proceedings of WCNA, Athens 1997)
[38] Yanev G., Mitov K. Maximum individual score in critical twotype branching processes, C.R. Acad. Bulg. Sci. 55, 2002, No 11, P. 1722
(To paper [1], 1999 and [1] in Proceedings of WCNA, Athens 1997)
[39] Yanev G. P., Mitov K. V., Yanev N. M. Critical branching regenerative processes with migration, Journal of Applied Statistical Science, 2003, 12, No. 1, P. 4154.
(To the Monograph [1], 1995)
[40] N. Lalam and C. Jacob Estimation of the offspring mean in a supercritical or nearcritical sizedependent branching process
Source: HYPERLINK "http://projecteuclid.org/Dienst/UI/1.0/Journal?authority=euclid.aap&issue=1113402396" Adv. in Appl. Probab. 36 (2004), no. 2, 582601.
( To the monograph [1], 1995)
[41] Lalam, N. and Jacob, C. (2002). Estimation of the offspring mean in a supercritical or nearcritical sizedependent branching process. Tech. Rep., Applied Mathematics and Informatics, INRA, JouyenJosas.
( To the monograph [1], 1995)
[42] HYPERLINK "http://www.ams.org/msnmain?fn=130&fmt=hl&pg1=IID&s1=734975&v1=Lalam%2C%20Nadia" Lalam, Nadia; HYPERLINK "http://www.ams.org/msnmain?fn=130&fmt=hl&pg1=IID&s1=92635&v1=Jacob%2C%20Christine" Jacob, Christine Estimation of the offspring mean of a supercritical or nearcritical sizedependent branching process. HYPERLINK "http://www.ams.org/msnmain?fn=305&pg1=CN&s1=C_R_Math_Acad_Sci_Paris&v1=C%2E%20R%2E%20Math%2E%20Acad%2E%20Sci%2E%20Paris" C. R. Math. Acad. Sci. Paris 339 (2004), HYPERLINK "http://www.ams.org/msnmain?fn=130&pg1=ISSI&s1=223819&v1=Comptes%20Rendus%20Mathematique%2E%20Academie%20des%20Sciences%2E%20Paris%20%5B%20339%20%282004%29%2C%20no%2E%209%5D" no. 9, 663666. (Reviewer: Ins Maria del Puerto) HYPERLINK "http://www.ams.org/msnmain?fn=705&pg1=CODE&op1=OR&s1=62M05,(60J80)" 62M05 (60J80)
( To the monograph [1], 1995)
[43] HYPERLINK "http://www.ams.org/msnmain?fn=130&fmt=hl&pg1=IID&s1=719346&v1=Dorman%2C%20Karin%20S%2E" Dorman, Karin S.; HYPERLINK "http://www.ams.org/msnmain?fn=130&fmt=hl&pg1=IID&s1=349304&v1=Sinsheimer%2C%20Janet%20S%2E" Sinsheimer, Janet S.; HYPERLINK "http://www.ams.org/msnmain?fn=130&fmt=hl&pg1=IID&s1=200533&v1=Lange%2C%20Kenneth" Lange, Kenneth In the garden of branching processes. HYPERLINK "http://www.ams.org/msnmain?fn=305&pg1=CN&s1=SIAM_Rev&v1=SIAM%20Rev%2E" SIAM Rev. 46 (2004), HYPERLINK "http://www.ams.org/msnmain?fn=130&pg1=ISSI&s1=225653&v1=SIAM%20Review%20%5B%2046%20%282004%29%2C%20no%2E%202%5D" no. 2, 202229
( To the monograph [1], 1995)
[44] Yanev G. P., Yanev N. A critical Branching Process with StationaryLimiting Distribution, Stochastic Anal. Appl., 2004, V. 22, No 3, 721738
( To the monograph [1], 1995 and to paper [3]. 2000)
[45] ] HYPERLINK "http://www.ams.org/msnmain?fn=130&fmt=hl&pg1=IID&s1=734975&v1=Lalam%2C%20Nadia" Lalam, Nadia; HYPERLINK "http://www.ams.org/msnmain?fn=130&fmt=hl&pg1=IID&s1=92635&v1=Jacob%2C%20Christine" Jacob, Christine. Estimation of the offspring mean for a general class sizedependent branching process. Applications to quantitive polymerase chain reaction. Mathematics and Computer Science III, 539540. Trends Math., Birkhauser, Basel, 2004.
(To monograph [1])
[46] Silvestrov D. S. Limit Theorems for Randomly Stopped Stochastic Processes. Springer, Ser. Probability and Its Applications, 2004.
(To paper [1], 1987 and to monograph [1])
D. PROFESSIONAL ACTIVITIES
D1. Editorship in Mathematical Journals
Associate editor of the "Journal of Applied Statistical Science"
( USA, 1994 ).
Associate editor of Pakistan Journal of Statistics (1996)
Associate editor of the journal Istatistik (Turkey, 1996)
Referee of Journal of Applied Probability (England, 1996)
Referee of Advances in Applied Probability (England, 1996)
Reviewer of Mathematical Reviews of American Math.
Society (April 1981  present)
D2. Awards and scholarships
1. A Silver medal for achievements and excellent results in study, Fergana, USSR, 1968.
2. Romanovski Award for the best scientific results by yang researchers, USSR , 1978.
3. A grant from ISI Tokyo Session Memorial Program to participate at 51st ISI Session. The Institute of Statistical Research, Tokyo, Japan, 1997.
I never had a scholarship since the education in my country used to be free.
D3. Conference Organization
1.1 ST World Congress of Bernoulli Society. V.1, Tashkent, August 1986.
Member of the National Organizing Committee.
2. 51 ST Session of the International Statistical Institute, Istanbul August 1997.
Organizer of the meeting of invited papers Population Dynamics with Migration
Effects.
3. International Conference on Statistical Sciences, Lawrenceville, NJ, USA, May 1999. Member of the Organizing Committee.
D4. Consulting
[1] Chairman, Supervision Committee; School of Young Mathematicians under the Romanovski Mathematical Institute, Tashkent, USSR. 19811990.
[2] Consultant of State Statistical Institute of Turkey on Demographic Models,
Ankara, Turkey. 19931996.
D5. Involvement in Thesis Supervision
I was involved in supervision of the following students.
Name of Student Degree Date Completed
S. Kurbanov PhD 1992
A. Teshabaev PhD 1996
Hummieda (USM, Malaysia) Master 1998
Yeoh Hong Beng (USM, Malaysia) Master 1998
H. Hasan (USM, Malaysia) PhD 2002
In addition I was involved in supervision of the following Ph.D. students as a second supervisor Yu. Djuraev (1938), S. Kaverin (1989), R. Salahitdinov (1990) and V. Khalilov (1994). I also was involved in supervision 67 Master Theses at different Uzbek universities.
D6. Examination of Theses
1.
Member of The Research Council of Romanovski Mathematical Institute of Uzbek Academy of Sciences. This Research Council serves as a Permanent Jury to consider PhD and Doctor of Science Theses and makes a decision about conferring the above degrees.
Uzbek Academy of Sciences Tashkent. 19911995
Each year 10 to 15 theses were considered .
2.
Referee of a PhD Thesis by A. Smadi on Time Series. Department of Statistics,
Middle East Technical University, Ankara, Turkey. 1994
3. As a statistician I am participating in evaluation of research works for promotion to Associate and Full Professor ranks in overseas universities. The last year I was asked by the Temple University (USA) to evaluate one candidate for promotion to the rank of Full Professor.
D8. Refereeing Papers in Journals
Refereeing and reviewing 8  10 research articles a year for variety of conference proceedings and journals, including 4 international journals such as Journal of Applied Probability and Advances in Applied Probability (UK), Journal of Applied Statistical Sciences (USA) , "The Arabian Journal for Science and Engineering" KFUPM.
D9. Public Seminars and Presentations
1.
From 1978 to 1993 I have given one or two seminars a year at Romanovski Mathematical Institute of Uzbek Academy of Sciences.
During those years I have also given at least one seminar a year at Tashkent city weekly meeting of statisticians.
2.
In 1984 and 19891991 I have given one seminar a year at Steklov Mathematical Institute of Academy of Sciences of The USSR.
In 1990 I gave a seminar at Moscow State University, Moscow, USSR.
In 1991 I gave a seminar at Kiev State University, Ukraina.
3.
From 1993 to 1995 I have given one seminar a year at Middle East Technical University, Ankara, Turkey.
In 1993 gave seminars at Khojitepa and Gazi universities, Ankara, Turkey.
5.
In June of 1994 I gave a seminar on Record Values at Minnesota University, Minneapolis, USA.
6.
In 1996 I gave a series of seminars at University of Science Malaysia, Penang.
In 1996 I gave a seminar at Singapore National University, Singapore.
In 1997 I gave a seminar at University Kebangsaan, Kuala Lumpur, Malaysia.
7.
In 1998 I gave a seminar on Effect of Migration in Stochastic Population Processes
at KFUPM, Dhahran.
8.
In February 28, 1999 I gave a seminar on A Remark on Simple Random Sums at KFUP, Dhahran.
9.
In November 21, 1999 I gave a seminar "On a Sum of Random Fields" at KFUPM , Dhahran.
D10. Presentations in Conferences and Workshops
[1] Stochastic Processes, a 6 hours Workshop at UKM, August, 1997, Kuala Lumpur, Malaysia
[2] The Effect of Migration in Population Dynamics, A presentation at UKM, August, 1997, Kuala Lumpur, Malaysia.
E. UNIVERSITY AND PUBLIC SERVICES
[1] Associate Editor of Proceedings of Romanovski Mathematical Institute on Probability and
Statistics, Tashkent, USSR 19821990.
[2] Member of The Scientific Committee of Romanovski Mathematical Institute for conferring Ph.D and Doctor of Science Degrees.
Tashkent. 19911995
[3] In charge of visits by prospective students 19931996
[4] Organizer and Supervisor of the Weekly Seminar on Stochastic Processes ( School of Mathematical Sciences, USM). The mission of the seminar was: (a) Discussion of Scientific results concerning research activity of faculty members
(b) Work with the literature of joint interest;
(c) Discussion of current results and degree thesis of graduate students in order to assist
them to finish it in time. 19961998
[5] Organizer of the meeting of invited papers Population Dynamics with Migration
Effects at 51 ST Session of the International Statistical Institute, Istanbul 1997.
[6] Involved in the development of the proposed BS program with Stochastic processes and Time Series Analysis at the Department of Mathematical Sciences, KFUP, Saudi Arabia.
[7] Serving as a member of Search Committee at the Department of Mathematical Sciences, KFUPM, Saudi Arabia.
[8] Served as a member of Adhoc Committee to evaluate promotion requests of some candidates at the Department of Mathematical Sciences, KFUPM, Saudi Arabia.
[9] Served as a member of Research , Colloquia and Publications Committee member at the Department of Mathematical Sciences , KFUPM, Saudi Arabia, during February 1998 to June 1998.
[10] Served as a member of Adhoc Committee to review the current graduate program at the Department of Mathematical Sciences, KFUPM, Saudi Arabia, during March, to June 1998.
[11] Serving as a member of the University Research Advisory Committee 2006now
PAGE
PAGE 36
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