3 Research Publications (46 Papers)
A total of 47 (14 in ISI journals) have been published or accepted for publication. Research interests include robustness of multivariate analysis, estimation of covariance matrix under loss functions, characterization of probability distributions, survey sampling and the mathematics of descriptive statistics.
3.1 A Chronological List of Research Publications
01. Ali, M.M. and Joarder, A.H. (1991). Distribution of the correlation coefficient for the class of bivariate elliptical models. Canadian Journal of Statistics, 19, 447452. (ISI)
02. Joarder, A.H. and Ali, M.M. (1992 a). Distribution of the correlation matrix for a class of elliptical models, Communications in Statistics Theory and Methods, 21, 19531964. (ISI)
03. Joarder, A.H. and Ali, M.M. (1992 b). On some generalized Wishart expectations. Communications in Statistics Theory and Methods, 21, 283294. (ISI)
04. Joarder, A.H. (1994). Some applications of Macdonald function in the multivariate tdistribution. Journal of Statistical Studies, 14, 115124.
05. Joarder, A.H. (1995 a). The characteristic function of the univariate tdistribution. Dhaka University Journal of Science, 43, 117125.
06. Joarder, A.H. and Alam, A.U. (1995). The characteristic function of the elliptical t distribution using a conditional expectation approach. Journal of Information and Optimization Sciences, 16, 307310.
07. Joarder, A.H. (1995 b). Estimation of the scale matrix of a multivariate t
model. Journal of Statistical Research, 29, 55 66.
08. Joarder, A.H. (1995 c). Estimation of the covariance matrix of the
multivariate normal distribution. Pakistan Journal of Statistics, 11,
159165.
09. Joarder, A.H. and Hossain, M.A. (1995). Estimation of the trace of the scale matrix of scale mixture of multivariate normal distributions. Journal of Information and Optimization Sciences, 16, 565572.
10. Joarder, A.H. and Ali, M.M. (1996 a). On the characteristic function of
the multivariate tdistribution. Pakistan Journal of Statistics, 12, 55
62.
11. Joarder, A.H. and Ali, M.M. (1996 b). On the characterization of spherical distributions. Journal of Information and Optimization Sciences, 17, 177 184.
12. Joarder, A.H. and Ahmed, S.E. (1996). Estimation of characteristic roots of scale matrix. Metrika, 44, 259267. (ISI)
13. Joarder, A.H. and Hossain, M.A. (1996). Estimation of the eigenvalues of the scale matrix of a class of elliptical distributions. Statistica, 56, 314319.
14. Singh, S; Joarder, A.H. and King, M.L. (1996). Regression analysis using scrambled responses. Australian Journal of Statistics, 38, 201211. (ISI)
15. Singh, S. and Joarder, A.H. (1997 a). Unknown repeated trials in randomized response sampling. Indian Society of Agricultural Statistics, 50, 103105.
16. Singh, S. and Joarder, A.H. (1997 b). Optional randomized response
technique for sensitive quantitative variable. Metron, 55, 151157.
17. Joarder, A.H. and Ali, M.M. (1997). Estimation of the scale matrix of a
multivariate tmodel under entropy loss. Metrika, 46, 2132. (ISI)
18. Joarder, A.H. and Singh, S. (1997). Estimation of the trace of the scale matrix of a multivariate tmodel using regression estimator. Statistics, 28, 161168.
19. Joarder, A.H. (1997). On the characteristic function of the multivariate Pearson Type II distribution. Journal of Information and Optimization Sciences, 18, 177182.
20. Joarder, A.H. and Mahmood, M. (1997). An inductive derivation of Stirling
numbers of the second kind and their applications in statistics. Journal of Applied Mathematics and Decision Sciences, 1, 151157.
21. Joarder, A.H. (1998 a). On the statistical independence in a contingency
table. International Journal of Mathematical Education in Science and Technology, 29, 780782.
22. Joarder, A.H. (1998 b). Some useful Wishart expectations based on the
multivariate tmodel. Statistical Papers, 39, 223229. (ISI)
23. Singh, S. and Joarder, A.H. (1998). Estimation of finite population
variance using random nonresponse in survey sampling. Metrika, 47, 241249. (ISI)
24. Joarder, A.H. and Ahmed, S.E. (1998). Estimation of the scale matrix of a
class of elliptical distributions. Metrika, 48, 149160. (ISI)
25. Joarder, A.H. and Beg, G.K. (1999). Estimation of the trace of the scale matrix of the multivariate tmodel under a squared error loss. Statistica, 59, 181191.
Papers Published after having been Promoted to Assoc Prof
26. Singh, S., Joarder, A.H. and Tracy, D.S. (2000). Regression type
estimators in the presence of nonresponse. Statistica, 60, 39 44.
27. Singh, S., Joarder, A.H. and Tracy, D.S. (2001). Median estimation using double sampling. Australian and New Zealand Journal of Statistics, 43, 3346. (ISI)
28. Joarder, A.H. and Firozzaman, M. (2001). Quartiles for discrete data.
Teaching Statistics, 23(3), 8689.
29. Ahmed, S.E. ;
Volodin, A.I. and Joarder, A.H. (2001). Pretest estimation of eigenvalues of a
Wishart matrix. Inernational Mathematical Journal, 1 (3),
259272.
30. Firozzaman, M. and Joarder, A.H. (2001). A refinement over the usual
formulae for deciles. International Journal of Mathematical Education in Science and Technology, 32 (5), 761765.
31. Joarder, A.H. and Singh, S. (2001). Estimation of the trace of the scaled
covariance matrix of a multivariate tmodel using a known information. Metrika, 54 (1), 5358. (ISI)
32. Joarder, A.H. (2002). Six ways to look at linear interpolation,
International Journal of Mathematical Education in Science and
Technology, 32 (6), 932937.
33. Joarder, A.H. and AlSabah, W.S. (2002). The dependence structure of
conditional probabilities in a contingency table. International Journal of Mathematics Education for Science and Technology, 33(3), 475480.
34. Joarder, A.H. (2002). On some representations of sample variance. International Journal of Mathematics Education for Science and Technology, 33(5), 772784.
35. Singh, S. and Joarder, A.H. (2002).Estimation of the distribution function
and median in two phase sampling. Pakistan Journal of Statistics (S. E Ahmed special issue edited by Serge B. Provost, The University of Western Ontario, Canada), 18(2), 301319.
36. Joarder, A.H. (2003). The halving method for sample quartiles.
International Journal of Mathematicals Education in Science and
Technology. 34(4), 629633.
37. Joarder, A.H.(2003). The sample variance and firstorder Differences of observations. Mathematical Scientist, 28, 129133.
38. Joarder, A.H. and Latif, R.M. (2004). A comparison and contrast of
some methods for sample quartiles. Journal of Probability and Statistical Science, 2(1), 95109.
39. Barone, L; Voulgaridis, G.Z and Joarder, A.H. (2004). On the dispersion
of data in nonsymmetric distributions. International Journal of Mathematicals Education in Science and Technology, 35(3), 419424.
40. Singh, S., Grewal, I.S. and Joarder, A.H. (2004). General class of
estimators in multicharacter surveys. Statistical Papers, 28, 129133. (ISI)
41. Joarder, A.H. and Laradji, A. (2005). Algebraic inequalities for measures of dispersion. Journal of Probability and Statistical Science, 3(2), 317326.
42. Joarder, A.H. and Latif, R.M. (2006). Standard deviation for Small Samples, Teaching Statistics, 28(2), 4043.
43. Joarder, A.H. (2006a). Product moments of a bivarite Wishart distribution.
Journal of Probability and Statistical Science, 4(2), 2006, 233244.
44. Kibria, B. M. G. and Joarder A. H. (2006). A short review of multivariate
tdistribution. Journal of Statistical Research. 40(1), 5972.
45. Joarder, A.H. (2006b). Some useful integrals and their applications in
correlation analysis. To appear in Statistical Papers. (ISI)
46. Laradji, A. and Joarder, A.H. (2006). Inequalities among some measures
of location. Communications in Statistics Theory and Methods. 35,
(11). (ISI)
47. Singh, H.P.; Chandra, P; Joarder A.H. and Singh, S. (2006). Family of
estimators of mean, ratio and product of a finite population using random nonresponse. To appear in Test: A Journal of the Spanish Statistical Society. (ISI)
Papers Submitted or under Revision
Joarder, A.H. (2006). Distribution theory with two correlated chisquare variables. Communications in Statistics Theory and Methods.
Joarder, A.H. (2006). A bivariate chisqaure distribution and some of its properties. Submitted to Metrika.
Joarder, A.H. (2006). Moments of product and ratio of two correlated chisquare variables. Submitted to Metron.
Joarder, A.H. (2006). A bivariate intregral based on Wishart distribution. Submitted to Journal of Mathematics and Mathematical Sciences.
Joarder, A.H. (2006). Skewness and kurtosis for bivariate distributions. Submitted to Statistical Papers.
Abujiya, M.R. and Joarder, A.H. (2006). Mahalanobis moments for bivariate chisquare distribution. Submitted to Statistical Papers.
Joarder, A.H. (2006). The expectation of sample variance. Submitted to Statistica.
Joarder, A.H. and AlSabah, W.S. (2006). Probability issues in without replacement sampling. Submitted to A refinement over the usual formulae for deciles.
Joarder, A.H. (2006). On a chisquare distribution with a nuisance parameter. Submitted to Statistical Papers.
Joarder, A.H. (2006). An introduction to bivariate tdistribuion. Submitted to International Journal of Modern Mathematics.
Joarder, A.H. (2006). Moments of the bivariate tdistribution. Submitted to Statistica.
Joarder, A.H. and AlSabah, W.S. (2006). On the distribution of the norms of spherical distributions. Submitted to Journal of Probability and Statistical Science.
Singh, H.P.; Singh, S. and Joarder, A.H. (2006). Estimation of population median when mode of an auxiliary variable is known. Submitted to JSPI.
(i) Multivariate Estimation Theory
(ii) Distribution Theory, Moments and Characterizations
(iii) Survey Sampling
(iv) Descriptive Statistics
The classical theory of Multivariate Analysis is based on the assumption that underlying observation vectors arise from independent multivariate normal distributions. The multivariate normal distributions have indeed played a predominant role in the historical development of statistical theory, and found applications in physical, biological, engineering and other branches of science and business.
Samuel Kotz (1975) presented a systematic classification of multivariate distributions based on various criteria such as type of dependence, analogy of mathematical form, model and characterizations. Kelker (1970) was the first statistician to develop statistical theory for multivariate elliptical distributions, a class of distributions which accommodates multivariate tdistribution and multivariate normal distribution as special cases. Fang and Anderson (1990) edited a book on multivariate elliptical distributions. Fang and Zhang (1990) were the first to come up with a book on multivariate analysis with elliptical distributions.
The multivariate tdistribution has fatter tails and can characterize many financial data especially stock return data. Zellner (1976) laid the foundation for modeling financial data under the assumption that observations follow tdistribution. Since then many authors tried to develop statistical theory for a tpopulation.
Multivariate Estimation Theory (11 Papers)
There have been numerous papers on the estimation of the covariance matrix of the multivariate normal distribution. Maximum likelihood method has been one of the most popular method of estimation for the covariance matrix. The most powerful property of the maximum likelihood estimator is the asymptotic normality which stems out, in fact, from the independence of the sample observations. However the assumption of the independence of the observations for multivariate elliptical distributions is true only for the special case of multivariate normal distribution. So some authors have tried to estimate the covariance by the criteria of loss functions.
In a series of papers estimation strategies for covariance matrix of the multivariate tdistribution, its trace, characteristics roots etc have been developed under squared error loss function [Joarder (1995 b), Joarder and Ahmed (1996), Joarder and Beg (1999)]. The covariance matrix of the multivariate tdistribution has also been estimated under an entropy loss function (Joarder and Ali, 1997). Trace and covariance matrix of the scale mixture of multivariate normal distributions have also been studied [Joarder and Hossain (1995), Joarder and Ahmed (1998)]. The covariance matrix of the multivariate tdistribution has been estimated by the use
of a regression type of estimator( Joarder and Singh ,1997) and also by using a known information (Joarder and Singh, 2001). The covariance matrix based on multivariate normal distribution has been estimated by Joarder (1995c). Eigenvalues of a Wishart matrix based on multivariate normal distribution has been estimated by Pretest Method (see Ahmed, Volodin and Joarder, 2001)
Distribution Theory, Moments and Characterizations (13 Papers)
The distribution of the correlation coefficient based on bivariate elliptical distributions has been derived (Ali and Joarder, 1991). This proves the robustness of the distribution correlation coefficient in the wider class of bivariate elliptical distributions and ttest for the uncorrelatedness. The distribution theory has been extended to multivariate elliptical distributions to derive the distribution of correlation matrix (Joarder and Ali, 1992). Some integral results with applications to correlation analysis have been developed (Joarder, 2006b).
Characteristic functions of several multivariate distributions say Multivariate tdistribution, Multivariate Pearson Type II Distribution, Uniform Distribution on or inside Unit HyperSphere etc have been derived in terms of well known special functions [Joarder (1995 a), Joarder and Alam (1995), Joarder and Ali (1996 a), Joarder (1997)]. Spherical Distributions, a special class of elliptical distributions, have been characterized geometrically and analytically (Joarder and Ali ,1996 b). Some applications of Macdonald function in the multivariate tdistribution has been discussed (Joarder, 1994). Stirling numbers of the second kind has been derived by an inductive method and applied to find moments of integer valued random variables (Joarder and Mahmood ,1997).
Identities involving Wishart matrix based on the multivariate tdistribution have been derived ( Joarder and Ali ,1992 b). Some useful expected values of important functions of Wishart matrices based on the multivariate tmodel has been derived (Joarder, 1998 b). These are important for the loss theoretic estimation of covariance matrix and its characteristics. Product moments of bivariate Wishart distribution have been derived (Joarder, 2006a).
Survey Sampling (10 Papers)
Scrambled randomized response method has been applied to linear regression model (Singh, Joarder and King , 1996). Optional randomized response technique has been developed for sensitive qualitative variable (Singh and Joarder, 1997 b).
Finite population variance has been estimated by the use of random nonresponse (Singh and Joarder 1998). Unknown repeated trials in randomized response sampling has been considered by Singh and Joarder (1997 a). Regression type estimators in the presence of nonresponse has been discussed by Singh, Joarder and Tracy (2000). Some regression type estimators have been studied for random
nonresponse in different situations under the assumption that the number of sampling units on which information cannot be obtained due to random nonresponse follows some probability distribution (see Singh, Joarder and Tracy (2001).
Distribution function and median in two phase sampling have been estimated by Singh and Joarder (2002). General class of estimators in multicharacter surveys is
considered in Singh, Grewal and Joarder (2004). Singh, Chandra , Joarder and Singh (2006) have developed family of estimators of mean, ratio and product of a finite population under random nonresponse.
Descriptive Statistics and Miscellaneous (12 Papers)
It has been proved that statistical independence and linear dependence of a square contingency matrix are equivalent (Joarder, 1998 a). The dependence structure of conditional probabilities in a square contingency table has been considered by Joarder and AlSabah ( 2002). A halving method (Joarder 2003) has been proposed for the quartiles. A remainder method (Firozzaman and Joarder, 2001) has been proposed for quartiles and deciles . Linear interpolation has been viewed by Joarder (2002) from six different perspectives. Sample variance has been calculated by Joarder (2002) without the use of sample mean and by Joarder
(2003) by the first order differences of observations. A comparison and contrast for sample quartiles has been considered by Joarder and Latif (2004). Some inequalities among some measures of location have been developed by Laradji and Joarder (2006). Algebraic inequalities have been developed by Joarder and Laradji (2005) for measures of dispersion.
Kelker, D. (1970). Distribution theory of spherical distributions and a location scale parameter generalization. Sankhya, Ser. A, 32, 419430.
Fang, K.T. and Anderson, T.W. (1990). Statistical Inference in Elliptically Contoured and Related Distributions. Allerton Press, New York.
Fang, K.T. and Zhang, Y. (1990). Generalized Multivariate Analysis. Springer Verlag.
Zellner, A. (1976). Bayesian and nonBayesian analysis of the regression model with multivariate Studentt error term. Journal of American Statistical Association, 71, 400405 (correction, 71, 1000).
For other references see Section 3.1 of the CV.
3.3 Books Under Preparation
Hassen A. Muttlak; Anwar H. Joarder and Walid S. AlSabah (2004). " Laboratory
Manual for Probabilty and Statistics for Engineers and Scientists" , KFUPM
Press, Dhahran, Saudi Arabia. (137 pages of size 21 x 29 cm, ISBN 996007
20503). This has been used in the dept since the beginning of 2004.
Drafted a book entitled Statistics for Science, Engineering and
Technology. The manuscript is of 350 pages typed up in A4 size paper and
divided into ten chapters.
Drafted a book entitled Teaching Basic Statistics based on my pedagogical
publications.
Kibria, B.M.G and Joarder, A.H. "Multivarite TDistribution and its Application in Regression Analysis".
3.4 Research Papers in Citation (31 Citations)

Paper Title 
Citation 
1 
Joarder A.H. and Ali, M.M. (1992). The distribution of correlation matrix for a class of elliptical models. Communications in Statistics  Theory & Methods, 21 (7), 19531964.


2 
Ali, M.M. and Joarder, A.H. (1991). Distribution of the correlation coefficient for the class of bivariate elliptical models. Canadian Journal of Staistics, 19 (4), 447452. (Dec 1991)

Arellano Valle R.B., Bolfarine, H. (1996). Elliptical structural models. Communications in Statistics  Theory & Methods, 25 (10), 23192341. 
3 
Joarder, A.H. and Ali, M.M. (1992).On some generalized Wishart expectations. Communications in Statistics Theory and Methods, 21, 283294. 
Gupta, A.K. and Nagar, D.K. (2000). Matrix Variate Distributions. Chapman and Hall. London.

4 
Joarder, A.H. (1997). On the Characteristic function of multivariate Pearson Type II distribution. Journal of Information & Optimization Sciences, 18, 177182. 
Johnson, N.L., Balakrishnan, N. and Kotz, S. (2000). Continuous Multivariate Distributions (Volume 1, Models and Applications). Wiley, New York (pp910).

5 
Singh, S. and Joarder, A.H. (1998). Estimation of finite population variance using random nonresponse in survey sampling , Metrika, 47 (3), 241249. 
Singh, S and Horn, S. (2000). Compromised imputation in survey sampling, Metrika, 51 (3), 267276 2000 
6 
Ali, M.M. and Joarder, A.H. (1991). Distribution of the correlation coefficient for the class of bivariate elliptical models. Canadian Journal of Staistics, 19 (4), 447452.

Yuan, K.H. and Bentler, P.M. (2000) Inferences on correlation coefficients in some classes of nonnormal distributions. Journal of Multivariate Analysis, 72 (2), 230248. 
7 
Ali, M.M. and Joarder, A.H. (1991). Distribution of the correlation coefficient for the class of bivariate elliptical models. Canadian Journal of Staistics, 19 (4), 447452.

Mudholkar GS, Wilding GE, Mietlowski WL (2003). Robustness properties of the PitmanMorgan test. Communications in Statistics  Theory & Methods, 32(9), 18011816. 
8 
Singh, S., Joarder, A.H. and Tracy, D.S., (2001) Median estimation using double sampling. Australian and New Zealand Journal of Statistics, 43 (1), 3346. 
Arcos, A.C. ; Gonzalez, S.A.; Martmez, M.D.; Roman, Y.M. and Rueda, M.M. (2003). Estimating quantiles in population subject to change. ISI\E&H International Conference on Environmental Statistics and Health, Saddiago de Compostela. 
9 
Ali, M.M. and Joarder, A.H. (1991).
Distribution of the correlation coefficient for the class of bivariate elliptical models. Canadian Journal of Staistics, 19(4), 447452. (Dec 1991)

Yuan, K.H. and Bentler, P.M. (2004).
On the asymptotic distributions of two statistics for twolevel covariance
structure models within the class of elliptical distributions .
Psychometrika, 69(3), 437457 
10 
Singh, S. and Joarder, A.H. (1998). Estimation of finite population variance using random nonresponse in survey sampling , Metrika, 47 (3), 241249.

Rueda, M. and Gonzalez, S. (2004). Missing data and auxiliary information in surveys. Computational Statistics, 19(4), 551567. 
11 
Singh, S.; Joarder, A.H. and Tracy, D.S. (2001) Median estimation using double sampling. Ausatralian & New Zealand Journal of Statistics, 43 (1), 3346.

Rueda, M. and Arcos, A. (2004). Improving ratiotype quantile estimates in a finitepopulation. Statistical Papers, 45 (2), 231248

12 
Joarder, A.H. and Ahmed, S.E. (1998). Estimation of the scale matrix of a class of elliptical distributions. Metrika, 48 (2), 149160.

Nadarajah, S. and Kotz, S. (2005). Sampling distributions associated with the multivariate t distribution. Statistica Neerlandica, 59 (2), 214234. 
13 
Joarder, A.H. and Ali, M.M. (1992). On some generalized Wishart expectations. Communications in Statistics Theory and Methods, 21, 283294. 
Kotz, S. and Nadarajah, S. (2004). Multivariate t Distributions and Their Applications. (Cited on pages 193, 256) Cambridge University Press in 2004.

14 
Joarder, A.H. and Ahmed, S.E. (1996). Estimation of characteristic roots of scale matrix. Metrika, 44, 259267. 
Kotz, S. and Nadarajah, S. (2004). Multivariate t Distributions and Their Applications. (Cited on page 191, 255) Cambridge University Press in 2004.

15 
Joarder, A.H. and Ali, M.M. (1996). On the characteristic function of the multivariate tdistribution. Pakistan Journal of Statistics, 12, 5562. 
Kotz, S. and Nadarajah, S. (2004). Multivariate t Distributions and Their Applications. (Cited on pages 3639 in a Section 2.2: Joarder and Ali's Approach and also on 256) Cambridge University Press in 2004.

16 
Joarder, A.H. (1998 ). Some useful Wishart expectations based on the multivariate tmodel. Statistical Papers, 39, 223229. 
Kotz, S. and Nadarajah, S. (2004). Multivariate t Distributions and Their Applications. (Cited with results running 22 lines on pages 193194 and 255). Cambridge University Press.

17 
Joarder, A.H. and Ali, M.M. (1997). Estimation of the scale matrix of a multivariate tmodel under entropy loss. Metrika, 46, 2132. 
Kotz, S. and Nadarajah, S. (2004). Multivariate t Distributions and Their Applications. (Cited with results running 22 lines on pages 191192 and 256). Cambridge University Press.

18 
Joarder, A.H. and Ahmed, S.E. (1998). Estimation of the scale matrix of a class of elliptical distributions. Metrika, 48, 149160 
Kotz, S. and Nadarajah, S. (2004). Multivariate t Distributions and Their Applications. (Cited with results running 22 lines on pages 222223 and 256). Cambridge University Press. 
19 
Joarder, A.H. (1995). Estimation of the trace of the scale matrix of a multivariate tmodel, in Proceddings of the Econometric Conferernce, pp 467474 (Monash University, Australia) 
Kotz, S. and Nadarajah, S. (2004). Multivariate t Distributions and Their Applications. (Cited on pages 221 and 255). Cambridge University Press. 
20 
Joarder, A.H. and Singh, S. (1997). Estimation of the trace of the scale matrix of a multivariate tmodel using regression estimator. Statistics, 28, 161168.

Kotz, S. and Nadarajah, S. (2004). Multivariate t Distributions and Their Applications. (Cited with results running 28 lines on pages 221222 and 256). Cambridge University Press.

21 
Singh, S., Joarder, A.H. and King, M.L. (1996), Regrassion analysis using scrambled responses. Australian Journal of Statistics, 38(2): 201211. 
Singh, H.P. and Mathur, N. (2004). Estimation of Population mean with known coefficient of variation under optional randomized response model using scrambled response technique. Statistics in Transition, 6(7), 10791093. 
22 
Joarder, A.H. and M. Firozzaman (2001). Quartiles for discrete data. Teaching Statistics, 23(3), 8689" 
Highlighted in the homepage (http://www.blackwellpublishing.com/journal.asp?ref=0141982X) in 2004.

23 
Singh, S. and Joarder, AH. (1998). Estimation of finite population variance using randomnonresponse in survey sampling. Metrika, 47, 241249,

Ahmed, M.S.; Titi, O.; AlRawib, Z. and AbuDayyeh, W. (2005). International Journal of Information and Management Sciences, 6, 2, 7382;

24 
Singh, S. and Joarder, AH. (1998). Estimation of finite population variance using randomnonresponse in survey sampling. Metrika, 47, 241249,

Rueda, M.; Gonzalez, S. and Arcos, A. (2006). Estimating the difference between two means with missing data in sample surveys. Model Assisted Statistics and Applications, 1, 5156. 
25 
Singh, S.; Joarder, A.H. and Tracy, D.S. (2001). Median estimation using double sampling, Ausatralian & New Zealand Journal of Statistics, 43 (1), 3346.

Arcos, A.; Rueda, M. and MartinezMiranda, D (2005). 
26 
Joarder, A.H. and Ali, M.M. (1997). Estimation of the scale matrix of a multivariate tModel under entropy loss, Metrika, 46 (1), 2132.

Nadarajah, S. and Kotz, S. (2005). Sampling distributions associated with the multivariate t distribution. Statistica, Neerlandica, 59 (2), 214234.

27 
Joarder, A.H. and Ali, M.M. (1997). Estimation of the scale matrix of a multivariate tModel under entropy loss, Metrika, 46 (1), 2132.

Petropoulos, C. and Kourouklis, S. (2005). Estimation of a scale parameter in mixture models with unknown location Journal of Statistical Planning and Inference, 128 (1), 191218. 
28 
Joarder, A.H. and Ahmed, S.E. (1996). Estimation of the characteristic roots of the scale matrix Metrika, 44 (3), 259267.

Nadarajah, S. and Kotz, S. (2005). Sampling distributions associated with the multivariate t distribution. Statistica Neerlandica, 59 (2), 214234.

29 
Joarder, A.H. and Ahmed, S.E. (1996). Estimation of the characteristic roots of the scale matrix. Metrika, 44 (3), 259267.

Ahmed, S.E. (1998). Largesample estimation strategies for eigenvalues of a Wishart matrix . Metrika, 47 (1), 3545 1998 
30 
Joarder, A.H. 1998). Some useful Wishart expectations based on the multivariate tmodel. Statistical Papers, 39 (2), 223229. 
Nadarajah, S. and Kotz, S. (2005).
Sampling distributions associated with the multivariate t distribution.
Statistica Neerlandica, 59 (2), 214234. 
31 
Singh, S.; Joarder, A.H. and Tracy, D.S. (2000). Regression type estimators for random nonresponse in survey sampling, Statistica, 60, 3944. 
Rueda, M.; Gonzalez, S. and Arcos, A. (2006). Estimating the difference between two means with missing data in sample surveys. Model Assisted Statistics and Applications, 1, 5156. 
32 
Singh, S.; Joarder, A.H. and Tracy, D.S. (2001). Median estimation using double sampling, Ausatralian & New Zealand Journal of Statistics, 43 (1), 3346.

Singh, S.; Singh, H.P. and Upadhaya, L.N. (2006). Chain ratio and regression type estimators for median estimation in survey sampling, Statistical Papers, 48(1), 2346.

33 
Joarder, A.H. and Firozzaman, M. (2001). Quartiles for discrete data. Teaching Statistics, 23(3), 8689. 
Langford, Eric (2006). Quartiles in Elementary Statistics, Journal of Statistics Education, 14(3),www.amstat.org/publications/jse/v14n3/langford.html 
3.5 Papers or Abstracts in Conferences (8)
Joarder, A.H. (2004). Sample variance and first order differences in
observations. Abstract published in the Proceedings of the Seventh Meeting of
SAMS (Saudi Association for Mathematical Sciences) held between April 78,
2004 in Prince Sultan University, Riyadh, Saudi Arabia.
Laradji, A. and Joarder, A.H. (2004). Inequalities involving means and quantiles.
Abstract published in the Proceedings of the Seventh Meeting of SAMS (Saudi
Association for Mathematical Sciences) held between April 78, 2004 in Prince
Sultan University, Riyadh, Saudi Arabia.
Firozzaman, M. and Joarder, A.H. (2001). A Refinement over the usual formulae
for deciles. Published in the Proceedings Biology, Earth Sciences and
Mathematics pp 371376 of the First Saudi Science Conference, KFUPM,
Saudi Arabia.
Joarder, A.H. and Ahmed, S.E. (1999). Estimation of the scaled covariance
matrix of a class of elliptical distributions. Abstracted on pages 8889 as
Manuscript Number 137 in the Proceeding of the 27^{th} Annual Meeting of
Statistical Society of Canada held at University of Regina, Regina, Saskatchewan
during June 8June 9, 1999.
Joarder, A.H. (1999). Robustness of productmoment correlation coefficient
under a broader class of distributions. Abstracted in the Abstracts of
Presented Papers, page 5. The Fourth Meeting of the Saudi Association for
Mathematical Sciences held during March 910, 1999 at King Saud University,
Riyadh, Saudi Arabia.
Singh, S. and Joarder, A.H. (1996). Estimation of finite population variance using random nonresponse in survey sampling. Abstracted in Sydney Meeting
Abstracts, pages 100101. Sydney International Statistical Congress 1996 held in Sydney, Australia.
Joarder, A.H. (1995). Estimation of the trace of the scale matrix of a multivariate
tmodel. Proceeding of the Econometrics Conference at Monash, pages 467
474, Monash University, Australia.
Skewness and Kurtosis for Bivariate distributions. Technical Reoprt No. 363 (November 2006), Dept of Mathematical Sciences, KFUPM, Saudi Arabia
Joarder, A.H. and Kibria, B.M.G. (2006). A Modest Introduction to Uncorrelated TModel. Technical Reoprt No. 354 (May 2006), Dept of Mathematical Science, KFUPM, Saudi Arabia
Joarder, A.H. and Walid S. AlSabah (2006). On the distributions of Norms of Spherical Distributions. Technical Report No. 349 (May 2006), Department of Mathematical Sciences, KFUPM, Saudi Arabia
Joarder, A.H. (2006). An Introduction to the Bivariate TDistribution. Technical Report No. 345 (Mar 2006), Department of Mathematical Sciences, KFUPM, Saudi Arabia
Sing, H.P.; Chandra, P.; Joarder, A.H. and Singh, S. (2006). Family of estimators of mean, ratio and product of a finite population using random nonresponse. Technical Report No. 344 (Mar 2006), Department of Mathematical Sciences, KFUPM, Saudi Arabia.
Joarder, A.H. (2006). Mahalanobis Moments of the Bivariate Chisqaure Distribution Distribution. Technical Report No. 350 (May 2006), Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
Joarder, A.H. (2006). Moments of the Bivariate TDistribution. Technical Report No. 346 (Mar 2006), Department of Mathematical Sciences, KFUPM, Saudi Arabia
Joarder, A.H. (2006). Standardized Moments of Bivariate Distributions. Technical Report No. 347 (Mar 2006), Department of Mathematical Sciences, KFUPM, Saudi Arabia
Joarder, A.H. and Abujiya, M.R. (2006). The Remainder Method for Sample Percentiles. Technical Report No. 343 (Jan 2006), Department of Mathematical Sciences, KFUPM, Saudi Arabia
Joarder, A.H. (2005). Moments of the Product and Quotient of Two Correlated Chisquare Random Variables. Technical Report No. 341 (Dec 2005), Department of Mathematical Sciences, KFUPM, Saudi Arabia.
Joarder, A.H. (2005). A Bivariate Integral Based on Wishart Distribution. Technical Report No. 339 (Dec 2005), Department of Mathematical Sciences, KFUPM, Saudi Arabia.
Joarder, A.H. and AlSabah, W.S. (2005). Probability Issues in Without Replacement Sampling. Technical Report No. 342 (Dec 2005), Department of Mathematical Sciences, KFUPM, Saudi Arabia.
Joarder, A.H. (2005). Some Useful Integrals and Their Applications in Correlation Analysis. Technical Report No. 338 (Nov 2005), Department of Mathematical Sciences, KFUPM, Saudi Arabia.
Joarder, A.H. (2005). On a Bivariate Chisquare Distribution. Technical Report No. 335 (June), Department of Mathematical Sciences, KFUPM, Saudi Arabia.
Joarder, A.H. (2005). Product Moments of Bivariate Wishart Distribution. Technical Report No. 330 (May), Department of Mathematical Sciences, KFUPM, Saudi Arabia.
Joarder, A.H. and Latif, R.M. (2005). Standard Deviation for Small Samples.
Technical Report No. 329 (May), Department of Mathematical Sciences, KFUPM,
Saudi Arabia.
Joarder, A.H. (2005). The Expected Sample Variance in a General Situation.
Technical Report No. 328 (May), Department of Mathematical Sciences, King
Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia.
Joarder, A.H. (2004). Some inequalities in Descriptive Statistics. Technical Report
No. 321 (June), Department of Mathematical Sciences, KFUPM, Saudi Arabia.
Joarder, A.H. (2002). Sample variance and the first order differences of observations. Technical Report No. 293, Department of Mathematical Sciences, KFUPM, Saudi Arabia.
Laradji, A. and Joarder, A.H. (2002). Inequalities involving sample means, median and extreme observations. Technical Report No. 283 (October), Department of Mathematical Sciences, KFUPM, Saudi Arabia.
Joarder, A.H. (2002). The moments of a discrete distribution associated with the
principle of inclusion and exclusion. Technical Report No. 277, Department of
Mathematical Sciences, KFUPM, Saudi Arabia.
Joarder, A.H. (2002). The moments of a discrete distribution associated with the
principle of inclusion and exclusion. Technical Report No. 277, Department of
Mathematical Sciences, KFUPM, Saudi Arabia.
Joarder, A.H. (2002). The Remainder Method for Sample Quartiles of Even
Order. Technical Report No. 274, Department of Mathematical Sciences, KFUPM,
Saudi Arabia.
Joarder, A.H. (2002). The Hinge Method and the Halving Method for Sample
quartiles. Technical Report No. 273, Department of Mathematical Sciences, King
Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia.
Singh, S. and Joarder, A.H. (2001). Estimation of Distribution Function and
Median in Two Phase sampling, Technical Report No. 270, Department of
Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia.
Joarder, A.H. (2001). On some representations of sample variance. Technical
Report No. 269, Department of Mathematical Sciences, KFUPM, Saudi Arabia.
Joarder, A.H. and AlSabah, Walid S. (2001) The dependence structure of
conditional probabilities in a contingency table. Technical Report No. 260, Department of Mathematical Sciences, KFUPM, Saudi Arabia.
Firozzaman, M. and Joarder, A.H. (2000). A refinement over the usual formulae
for quartiles. Technical Report No. 254, Department of Mathematical Sciences,
KFUPM, Saudi Arabia.
Joarder, A.H. (1999). A class of improved estimators for the elliptical model
under the entropy loss function. Technical Report No. 249, Department of
Mathematical Sciences, King Fahd University of Petroleum and Minerals,
Dhahran, Saudi Arabia.
Joarder, A.H. and Beg, G.K. (1999). Estimation of the trace of the scale matrix of
a multivariate tmodel under a squared error loss. Technical Report No. 243,
Department of Mathematical Sciences, KFUPM, Saudi Arabia.
Joarder, A.H. and Ahmed (1998). Estimation of the scale matrix of a class of
elliptical distributions. Technical Report No. 235, Department of Mathematical
Sciences, KFUPM, Saudi Arabia.
Joarder, A.H. and Singh, S. (1998). Estimation of the trace of the scaled
covariance matrix of a multivariate tmodel using a power transformation.
Technical Report No. 234, Department of Mathematical Sciences, KFUPM,
Saudi Arabia.
Joarder, A.H. and Mahmood, M. (1998). On the statistical theory of a t
population. Technical Report No. 231, Department of Mathematical Sciences,
KFUPM, Saudi Arabia.
Joarder, A.H. and Mahmood, M. (1997). An inductive derivation of Stirling
numbers of the second kind and their applications in statistics. Technical Report
No. 225, Department of Mathematical Sciences, KFUPM, Saudi Arabia.
3.7 Research Funds
Obtained Faculty Research Grant 1995 of an amount of $3500.00 for the project Estimation of the Scale Matrix of a Tmodel under Quadratic Loss Function by the Faculty of Business and Economics Research Committee, Monash University, Victoria, Australia.
Obtained Fast Track Research Grant FT 200422 on the proposal "Product Moments of Bivariate Wishart Distribution" (Coinvestigator, Mr M.R. Abujiya). The project is very well in progress.
Obtained Fast Track Research Grant FT 200423 on the proposal "Expectations for Inverted Wishart Distribution" (Coinvestigator, Dr R.M. Latif). The project is very well in progress.