The role of the shape parameter in the estimation of the mean vector in multivariate Student-t population

Article

Khan, Shahjahan. 2004. "The role of the shape parameter in the estimation of the mean vector in multivariate Student-t population." International Journal of Statistical Sciences. 3 (Special issue), pp. 69-89.

Authors
Article Title	The role of the shape parameter in the estimation of the mean vector in multivariate Student-t population
Article Category	Article
Author	Khan, Shahjahan
Journal Title	International Journal of Statistical Sciences
Journal Citation	3 (Special issue), pp. 69-89
Number of Pages	21
Year	2004
Place of Publication	Rajshahi, Bangladesh
Abstract	The role of the shape parameter in determining the properties of the shrinkage and positive-rule shrinkage estimators of the mean vector of multivariate populations is of main interest in this paper. The preliminary test approach to shrinkage estimation is used to define two Stein-type estimators based on the sample information and uncertain prior non-sample information. The impact of the change in the value of the shape parameter on the performances of the estimators with respect to the criteria of unbiasedness and quadratic risk is investigated. Graphical analysis of the effect of the shape and dimension of the population on the above properties is also provided.
Keywords	shrinkage and positive-rule; shrinkage estimators; shape parameter; quadratic bias and risk; multivariate normal and Student-t; inverted gamma; non-central chi-square; F- distributions; incomplete beta ratio
ANZSRC Field of Research 2020	490509. Statistical theory
Byline Affiliations	Department of Mathematics and Computing

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Hoque, Zahirul, Khan, Shahjahan and Wesolowski, Jacek. 2009. "Performance of preliminary test estimator under linex loss function." Communications in Statistics: Theory and Methods. 38 (2), pp. 252-261. https://doi.org/10.1080/03610920802192471

James-Stein estimators for the mean vector of a multivariate normal population based on independent samples from two normal populations with common covariance structure

Khan, Shahjahan and Hoque, Zahirul. 2002. "James-Stein estimators for the mean vector of a multivariate normal population based on independent samples from two normal populations with common covariance structure." Pakistan Journal of Statistics. 18 (3), pp. 359-381.

Shrinkage pre-test estimator of the intercept parameter for a regression model with multivariate student-t errors

Khan, Shahjahan and Saleh, A. K. Md. Ehsanes. 1997. "Shrinkage pre-test estimator of the intercept parameter for a regression model with multivariate student-t errors." Biometrical Journal: journal of mathematical methods in biosciences. 39 (2), pp. 131-147. https://doi.org/10.1002/bimj.4710390202

Estimation of the slope parameter for linear regression model with uncertain prior information

Khan, Shahjahan, Hoque, Zahirul and Saleh, A. K. Md. Ehsanes. 2002. "Estimation of the slope parameter for linear regression model with uncertain prior information." Journal of Statistical Research. 36, pp. 55- 73.

On the comparison of the pre-test and shrinkage estimators for the univariate normal mean

Khan, Shahjahan and Saleh, A. K. Md. E.. 2001. "On the comparison of the pre-test and shrinkage estimators for the univariate normal mean." Statistical Papers. 42 (4), pp. 451-473.

Estimating moments of a selected Pareto population under asymmetric scale invariant loss function

Al-Mosawi, Riyadh Rustom and Khan, Shahjahan. 2018. "Estimating moments of a selected Pareto population under asymmetric scale invariant loss function." Statistical Papers. 57, pp. 183-198. https://doi.org/10.1007/s00362-016-0758-7

Changes in non-diabetic comorbid disease status following Laparoscopic Vertical Sleeve Gastrectomy (LVSG) versus Laparoscopic Roux-En-Y Gastric Bypass (LRYGB) procedures: a systematic review of randomized controlled trials

Osland, Emma, Yunus, Rossita Mohamad, Khan, Shahjahan, Memon, Muhammed Ashraf and Memon, Breda. 2017. "Changes in non-diabetic comorbid disease status following Laparoscopic Vertical Sleeve Gastrectomy (LVSG) versus Laparoscopic Roux-En-Y Gastric Bypass (LRYGB) procedures: a systematic review of randomized controlled trials." Obesity Surgery. 27 (5), pp. 1208-12221. https://doi.org/10.1007/s11695-016-2469-5

Statistics on spotlight: reflections on World Statistics Day

Khan, Shahjahan. 2016. "Statistics on spotlight: reflections on World Statistics Day." Journal of Islamic Countries Society of Statistical Sciences. 2 (2), pp. 175-184.

The correlated bivariate noncentral F distribution and its application

Khan, Shahjahan, Pratikno, Budi, Ibrahim, Adriana I. N. and Yunus, Rossita M.. 2016. "The correlated bivariate noncentral F distribution and its application." Communications in Statistics: Simulation and Computation. 45 (10), pp. 3491-3507. https://doi.org/10.1080/03610918.2014.999085

Mathematical reflection approach to instrumental variable estimation method for simple regression model

Saqr, Anwar and Khan, Shahjahan. 2016. "Mathematical reflection approach to instrumental variable estimation method for simple regression model." Pakistan Journal of Statistics. 32 (1), pp. 37-48.

Evidence based decision and meta-analysis with applications in cancer research studies

Khan, Shahjahan, Doi, Suhail A. R. and Memon, M. Ashraf. 2016. "Evidence based decision and meta-analysis with applications in cancer research studies." Applied Mathematics and Information Sciences. 10 (3), pp. 1-8. https://doi.org/10.12785/amis/paper-SK_print

A direct analysis of flood interval probability using approximately 100-year stream flow datasets

Brodie, Ian M. and Khan, Shahjahan. 2016. "A direct analysis of flood interval probability using approximately 100-year stream flow datasets." Hydrological Sciences Journal. 61 (12), pp. 2213-2225. https://doi.org/10.1080/02626667.2015.1099790

Improving statistical inference with uncertain non-sample prior information

Khan, Shahjahan, Memon, Muhammed Ashraf, Pratikno, Budi and Yunus, Rossita M.. 2015. "Improving statistical inference with uncertain non-sample prior information." Journal of Islamic Countries Society of Statistical Sciences. 1 (1), pp. 1-11.

Testing equality of two intercepts for the parallel regression model with non-sample prior information

Pratikno, Budi and Khan, Shahjahan. 2017. "Testing equality of two intercepts for the parallel regression model with non-sample prior information." Communications in Statistics: Theory and Methods. 46 (6), pp. 3099-3110. https://doi.org/10.1080/03610926.2015.1054941

Reply to comment to Meta-analysis and systematic review of laparoscopic versus open mesh repair for elective incisional hernia. Jensen K, Jorgensen LN

Awaiz, A., Rahman, F., Hossain, M. B., Yunus, R. M., Khan, S., Memon, B. and Memon, M. A.. 2015. "Reply to comment to Meta-analysis and systematic review of laparoscopic versus open mesh repair for elective incisional hernia. Jensen K, Jorgensen LN." Hernia. 19 (6), pp. 1027-1029. https://doi.org/10.1007/s10029-015-1432-z

Meta-analysis and systematic review of laparoscopic versus open mesh repair for elective incisional hernia

Awaiz, A., Rahman, F., Hossain, M. B., Yunus, R. M., Khan, S., Memon, B. and Memon, M. A.. 2015. "Meta-analysis and systematic review of laparoscopic versus open mesh repair for elective incisional hernia." Hernia. 19 (3), pp. 449-463. https://doi.org/10.1007/s10029-015-1351-z

Suture cruroplasty versus prosthetic hiatal herniorrhaphy for large hiatal hernia: a meta-analysis and systematic review of randomized controlled trials

Memon, Muhammed Ashraf, Memon, Breda, Yunus, Rossita Mohamad and Khan, Shahjahan. 2016. "Suture cruroplasty versus prosthetic hiatal herniorrhaphy for large hiatal hernia: a meta-analysis and systematic review of randomized controlled trials." Annals of Surgery. 263 (2), pp. 258- 266. https://doi.org/10.1097/SLA.0000000000001267

Advances in the meta-analysis of heterogeneous clinical trials II: the quality effects model

Doi, Suhail A. R., Barendregt, Jan J., Khan, Shahjahan, Thalib, Lukman and Williams, Gail M.. 2015. "Advances in the meta-analysis of heterogeneous clinical trials II: the quality effects model." Contemporary Clinical Trials. 45 (A), pp. 123-129. https://doi.org/10.1016/j.cct.2015.05.010

Advances in the meta-analysis of heterogeneous clinical trials I: the inverse variance heterogeneity model

Doi, Suhail A. R., Barendregt, Jan J., Khan, Shahjahan, Thalib, Lukman and Williams, Gail M.. 2015. "Advances in the meta-analysis of heterogeneous clinical trials I: the inverse variance heterogeneity model." Contemporary Clinical Trials. 45 (A), pp. 130-138. https://doi.org/10.1016/j.cct.2015.05.009

Simulation comparison of the quality effects and random effects methods of metaanalysis

Doi, Suhail A. R., Barendregt, Jan J., Khan, Shahjahan, Thalib, Lukman and Williams, Gail M.. 2015. "Simulation comparison of the quality effects and random effects methods of metaanalysis." Epidemiology. 26 (4), pp. 42-44. https://doi.org/10.1097/EDE.0000000000000289

Contribution of Muslims to the regional social harmony, interreligious dialogue and culture

Khan, Shahjahan. 2014. "Contribution of Muslims to the regional social harmony, interreligious dialogue and culture." Harmes, Marcus K. and Batorowicz, Krzysztof (ed.) Peace, Interreligious Dialogue and Culture Seminar 2014. Toowoomba, Australia 13 - 14 Feb 2014 Toowoomba, Australia.

Classical and Bayesian prediction for multivariate simple regression model

Khan, Shahjahan. 2014. "Classical and Bayesian prediction for multivariate simple regression model." Ahmed, Munir (ed.) 13th Islamic Countries Conference on Statistical Sciences . Bogor, Indonesia 18 - 21 Dec 2014 Lahore, Pakistan.

Score test in robust M-procedure

Khan, Shahjahan and Yunus, Rossita M.. 2014. "Score test in robust M-procedure." Journal of Applied Probability and Statistics. 9 (2), pp. 55-75.

Effect of timing of pharmaconutrition (immunonutrition) administration on outcomes of elective surgery for gastrointestinal malignancies: a systematic review and meta-analysis

Osland, Emma, Hossain, Md Belal, Khan, Shahjahan and Memon, Muhammed Ashraf. 2014. "Effect of timing of pharmaconutrition (immunonutrition) administration on outcomes of elective surgery for gastrointestinal malignancies: a systematic review and meta-analysis." Journal of Parenteral and Enteral Nutrition. 38 (1), pp. 53-69. https://doi.org/10.1177/0148607112474825

Laparoscopic anterior versus posterior fundoplication for gastro-esophageal reflux disease: a meta-analysis and systematic review

Memon, Muhammed Ashraf, Subramanya, Manjunath S., Hossain, Md Belal, Yunus, Rossita Mohamad, Khan, Shahjahan and Memon, Breda. 2015. "Laparoscopic anterior versus posterior fundoplication for gastro-esophageal reflux disease: a meta-analysis and systematic review." World Journal of Surgery. 39 (4), pp. 981-996. https://doi.org/10.1007/s00268-014-2889-0

Statistics in planning and development

Khan, Shahjahan. 2013. "Statistics in planning and development." Pakistan Journal of Statistics. 29 (4), pp. 513-524.

Shrinkage estimation under multivariate elliptic models

Arashi, M., Khan, Shahjahan, Tabatabaey, S. M. M. and Soleimani, H.. 2013. "Shrinkage estimation under multivariate elliptic models." Communications in Statistics: Theory and Methods. 42 (11), pp. 2084-2103. https://doi.org/10.1080/03610926.2011.602492

Empirical link between economic growth, energy consumption and CO2 emission in Australia

Salahuddin, Mohammad and Khan, Shahjahan. 2013. "Empirical link between economic growth, energy consumption and CO2 emission in Australia." Journal of Developing Areas. 47 (2), pp. 81-92.

Reflection method of estimation for measurement error models

Saqr, Anwar and Khan, Shahjahan. 2012. "Reflection method of estimation for measurement error models." Journal of Applied Probability and Statistics. 7 (2), pp. 71-88.

Meta-analyses of lightweight versus conventional (heavy weight) mesh in inguinal hernia surgery

Memon, M. Ashraf, Khan, S. and Osland, E.. 2012. "Meta-analyses of lightweight versus conventional (heavy weight) mesh in inguinal hernia surgery." Hernia. 16 (5), pp. 497-502. https://doi.org/10.1007/s10029-012-0987-1

Testing of intercept when slope is under suspicion

Pratikno, Budi and Khan, Shahjahan. 2012. "Testing of intercept when slope is under suspicion." Ahmad, Munir (ed.) 11th Islamic Countries Conference on Statistical Sciences. Lahore, Pakistan 19 - 22 Dec 2011 Lahore, Pakistan.

Testing base load with non-sample prior information on process load

Khan, Shahjahan and Pratikno, Budi. 2013. "Testing base load with non-sample prior information on process load." Statistical Papers. 54 (3), pp. 605-617. https://doi.org/10.1007/s00362-012-0451-4

Early versus traditional postoperative feeding in patients undergoing resectional gastrointestinal surgery: a meta-analysis

Osland, Emma, Yunus, Rossita Mohamad, Khan, Shahjahan and Memon, Muhammed Ashraf. 2011. "Early versus traditional postoperative feeding in patients undergoing resectional gastrointestinal surgery: a meta-analysis." Journal of Parenteral and Enteral Nutrition. 35 (4), pp. 473-487. https://doi.org/10.1177/0148607110385698

Meta-analysis of D1 versus D2 gastrectomy for gastric adenocarcinoma

Memon, Muhammed Ashraf, Subramanya, Manjunath S., Khan, Shahjahan, Hossain, Md. Belal, Osland, Emma and Memon, Breda. 2011. "Meta-analysis of D1 versus D2 gastrectomy for gastric adenocarcinoma." Annals of Surgery. 253 (5), pp. 900-911. https://doi.org/10.1097/SLA.0b013e318212bff6

The bivariate noncentral chi-square distribution – a compound distribution approach

Yunus, Rossita M. and Khan, Shahjahan. 2011. "The bivariate noncentral chi-square distribution – a compound distribution approach." Applied Mathematics and Computation. 217 (13), pp. 6237-6247. https://doi.org/10.1016/j.amc.2010.12.112

Early enteral nutrition within 24 h of intestinal surgery versus later commencement of feeding: a systematic review and meta-analysis [Letter to the Editor]

Osland, Emma, Yunus, Rossita M., Khan, Shahjahan and Memon, Muhammed Ashraf. 2009. "Early enteral nutrition within 24 h of intestinal surgery versus later commencement of feeding: a systematic review and meta-analysis [Letter to the Editor]." Journal of Gastrointestinal Surgery. 13 (6), pp. 1163-1165. https://doi.org/10.1007/s11605-009-0846-2

Meta-analysis of laparoscopic and open distal gastrectomy for gastric carcinoma

Memon, Muhammed Ashraf, Khan, Shahjahan, Yunus, Rossita Mohamad, Barr, Richard and Memon, Breda. 2008. "Meta-analysis of laparoscopic and open distal gastrectomy for gastric carcinoma." Surgical Endoscopy: surgical and interventional techniques. 22 (8), pp. 1781-1789. https://doi.org/10.1007/s00464-008-9925-9

Estimation of univariate normal mean using p-value

Kabir, Md Enamul and Khan, Shahjahan. 2007. "Estimation of univariate normal mean using p-value." 9th Islamic Countries Conference on Statistical Sciences. Shah Alam, Malaysia 12 - 14 Dec 2007 Kuala Lumpur, Malaysia.

Test for intercept after pre-testing on slope - a robust method

Yunus, Rossita M. and Khan, Shahjahan. 2007. "Test for intercept after pre-testing on slope - a robust method." Ahmad, Munir, Mohamed, Ibrahim, Osman, Jamil and Ibrahim, Noor Akma (ed.) 9th Islamic Countries Conference on Statistical Sciences. Shah Alam, Malaysia 12 - 14 Dec 2007 Kuala Lumpur, Malaysia.

Observed data based estimator and both observed data and prior information based estimator under asymmetric losses

Hoque, Zahirul, Wesolowski, Jacek and Khan, Shahjahan. 2007. "Observed data based estimator and both observed data and prior information based estimator under asymmetric losses." American Journal of Mathematical and Management Sciences. 27 (1-2), pp. 93-110. https://doi.org/10.1080/01966324.2007.10737690

Prediction distribution of future regression and residual sum of squares matrices for multivariate simple regression model with correlated normal responses

Khan, Shahjahan. 2006. "Prediction distribution of future regression and residual sum of squares matrices for multivariate simple regression model with correlated normal responses." Journal of Applied Probability and Statistics. 1 (1), pp. 15-30.

Edgeworth size corrected W, LR and LM test in the formation of the preliminary test estimator

Khan, Shahjahan, Hoque, Zahirul and Billah, Baki. 2006. "Edgeworth size corrected W, LR and LM test in the formation of the preliminary test estimator." Journal of Statistical Research. 40 (2), pp. 55-64.

Optimal tolerance regions for some functions of multiple regression model with Student-t errors

Khan, Shahjahan. 2006. "Optimal tolerance regions for some functions of multiple regression model with Student-t errors." Journal of Statistics and Management Systems. 9 (3), pp. 699-715.

On the Size Corrected Tests in Improved Estimation

Hoque, Z., Billah, B. and Khan, S.. 2005. "On the Size Corrected Tests in Improved Estimation." Calcutta Statistical Association Bulletin. 57 (3-4), pp. 143-160. https://doi.org/10.1177/0008068320050301

Estimation of parameters of the simple multivariate linear model with student t-errors

Khan, Shahjahan. 2005. "Estimation of parameters of the simple multivariate linear model with student t-errors ." Journal of Statistical Research. 39 (2), pp. 79-94.

Estimation of the intercept parameter for linear regression model with uncertain non-sample prior information

Khan, Shahjahan, Hoque, Zahirul and Saleh, A. K. Md. E.. 2005. "Estimation of the intercept parameter for linear regression model with uncertain non-sample prior information." Statistical Papers. 46 (3), pp. 379-395. https://doi.org/10.1007/bf02762840

Bridging the divide by screencasting in an introductory statistics class at an Australian university

Khan, Shahjahan, Loch, Birgit and McDonald, Christine. 2010. "Bridging the divide by screencasting in an introductory statistics class at an Australian university." Amin, Zeinab and Hadi, Ali S. (ed.) 10th Islamic Countries Conference on Statistical Sciences. Cairo, Egypt 20 - 23 Dec 2009 Lahore, Pakistan.

Meta-analysis of laparoscopic posterior and anterior fundoplication for gastro-oesophageal reflux disease

Subramanya, M. S., Hossain, M. B., Khan, S., Memon, B. and Memon, M. A.. 2010. "Meta-analysis of laparoscopic posterior and anterior fundoplication for gastro-oesophageal reflux disease." Li, Yan, Yang, Jiajia, Wen, Peng and Wu, Jinglong (ed.) 2010 IEEE/ICME International Conference on Complex Medical Engineering (ICME 2010). Gold Coast, Australia 13 - 15 Jul 2010 Piscataway, NJ. United States. https://doi.org/10.1109/ICCME.2010.5558829

M-tests for multivariate regression model

Yunus, Rossita M. and Khan, Shahjahan. 2011. "M-tests for multivariate regression model." Journal of Nonparametric Statistics. 23 (1), pp. 201-218. https://doi.org/10.1080/10485252.2010.503896

Preliminary results of a meta-analysis evaluating the effect of immunonutrition on outcomes on outcomes of elective gastrointestinal surgery

Osland, Emma, Hossain, Md. Belal, Khan, Shahjahan and Memon, Muhammed A.. 2010. "Preliminary results of a meta-analysis evaluating the effect of immunonutrition on outcomes on outcomes of elective gastrointestinal surgery." Amin, Zeinab and Hadi, Ali S. (ed.) 10th Islamic Countries Conference on Statistical Sciences. Cairo, Egypt 20 - 23 Dec 2009 Lahore, Pakistan.

Benefits of early feeding versus traditional nil-by-mouth nutritional postoperative management in gastrointestinal resectional surgery patients: a meta-analysis

Osland, Emma, Yunus, Rossita Mohamad, Khan, Shahjahan and Memon, Muhammed A.. 2010. "Benefits of early feeding versus traditional nil-by-mouth nutritional postoperative management in gastrointestinal resectional surgery patients: a meta-analysis." Amin, Zeinab and Hadi, Ali S. (ed.) 10th Islamic Countries Conference on Statistical Sciences. Cairo, Egypt 20 - 23 Dec 2009 Lahore, Pakistan.

Preliminary results of meta-analysis of endoscopic retrograde cholangiopancreatography (ERCP) versus conservative treatment for gall stone pancreatitis

Burstow, Matthew J., Yunus, Rossita M., Khan, Shahjahan, Memon, Breda and Memon, Muhammed A.. 2010. "Preliminary results of meta-analysis of endoscopic retrograde cholangiopancreatography (ERCP) versus conservative treatment for gall stone pancreatitis." Amin, Zeinab and Hadi, Ali S. (ed.) 10th Islamic Countries Conference on Statistical Sciences. Cairo, Egypt 20 - 23 Dec 2009 Lahore, Pakistan.

Preliminary results of meta-analysis of laparoscopic and open inguinal hernia repair

Burstow, Matthew John, Yunus, Rossita Mohamad, Khan, Shahjahan, Memon, Breda and Memon, Muhammed Ashraf. 2010. "Preliminary results of meta-analysis of laparoscopic and open inguinal hernia repair." Amin, Zeinab and Hadi, Ali S. (ed.) 10th Islamic Countries Conference on Statistical Sciences. Cairo, Egypt 20 - 23 Dec 2009 Lahore, Pakistan.

M-test of two parallel regression lines under uncertain prior information

Khan, Shahjahan and Yunus, Rossita M.. 2010. "M-test of two parallel regression lines under uncertain prior information." Amin, Zeinab and Hadi, Ali S. (ed.) 10th Islamic Countries Conference on Statistical Sciences. Cairo, Egypt 20 - 23 Dec 2009 Lahore, Pakistan.

Meta-analysis of D1 versus D2 gastrectomy for gastric adenocarcinoma

Subramanya, Manjunath S., Hossain, Md. Belal, Khan, Shahjahan, Memon, Breda and Memon, Muhammed A.. 2010. "Meta-analysis of D1 versus D2 gastrectomy for gastric adenocarcinoma." Amin, Zeinab and Hadi, Ali S. (ed.) 10th Islamic Countries Conference on Statistical Sciences. Cairo, Egypt 20 - 23 Dec 2009 Lahore, Pakistan.

Statistical inference

Khan, Shahjahan. 2010. "Statistical inference." Gaber, Mohamed Medhat (ed.) Scientific data mining and knowledge discovery: principles and foundations. Berlin, Germany. Springer. pp. 53-76

Increasing the power of the test through pre-test: a robust method

Yunus, Rossita M. and Khan, Shahjahan. 2011. "Increasing the power of the test through pre-test: a robust method." Communications in Statistics: Theory and Methods. 40 (4), pp. 581-597. https://doi.org/10.1080/03610920903350572

M-test for intercept after pre-testing on slope

Yunus, Rossita M. and Khan, Shahjahan. 2010. "M-test for intercept after pre-testing on slope." Journal of Statistical Modeling and Analytics. 1 (1), pp. 45-57.

Increasing power of robust test through pre-testing in multiple regression model

Yunus, Rossita M. and Khan, Shahjahan. 2010. "Increasing power of robust test through pre-testing in multiple regression model." Pakistan Journal of Statistics. 26 (1), pp. 151-170.

Scientific and scholarly contributions of Distinguished Research and Emeritus Professor A K Md Ehsanes Saleh

Khan, Shahjahan. 2009. "Scientific and scholarly contributions of Distinguished Research and Emeritus Professor A K Md Ehsanes Saleh." International Journal of Statistical Sciences. 9, pp. 7-31.

Meta-analysis of randomised clinical trials comparing open and laparoscopic anti-reflux surgery

Peters, Matthew James, Mukhtar, Athar, Yunus, Rossita Mohamad, Khan, Shahjahan, Pappalardo, Juanita, Memon, Breda and Memon, Muhammed Ashraf. 2009. "Meta-analysis of randomised clinical trials comparing open and laparoscopic anti-reflux surgery." The American Journal of Gastroenterology. 104 (6), pp. 1548-1561. https://doi.org/10.1038/ajg.2009.176

Optimal tolerance regions for future regression vector and residual sum of squares of multiple regression model with multivariate spherically contoured errors

Khan, Shahjahan. 2009. "Optimal tolerance regions for future regression vector and residual sum of squares of multiple regression model with multivariate spherically contoured errors." Statistical Papers. 50 (3), pp. 511-525. https://doi.org/10.1007/s00362-007-0095-y

Prediction distribution of generalized geometric series distribution and its different forms

Hassan, Anwar and Khan, Shahjahan. 2009. "Prediction distribution of generalized geometric series distribution and its different forms." Pakistan Journal of Statistics. 25 (1), pp. 47-57.

Improved meta analysis using predicted relative risk

Khan, Shahjahan and Hasan, Md Masud. 2008. "Improved meta analysis using predicted relative risk." Chowdhury, Abdul Hannan, Khan, Shahjahan, Ahmed, Nasar U., Rahman, M. Saydur and Kibria, B. M. Golam (ed.) 2008 International Conference on Recent Development in Statistical Sciences. Dhaka, Bangladesh 26 - 27 Dec 2008 Dhaka, Bangladesh.

Estimation of slope for linear regression model with uncertain prior information and student-t error

Khan, Shahjahan and Saleh, A. K. Md. E.. 2008. "Estimation of slope for linear regression model with uncertain prior information and student-t error." Communications in Statistics: Theory and Methods. 37 (16), pp. 2564-2581. https://doi.org/10.1080/03610920802040399

Sine square distribution: a new statistical model based on the sine function

Al-Faris, Rand Q. and Khan, Shahjahan. 2008. "Sine square distribution: a new statistical model based on the sine function." Journal of Applied Probability and Statistics. 3 (1), pp. 163-173.

Estimation in multiple regression model with elliptically contoured errors under MLINEX loss

Arashi, M., Tabatabaey, S. M. M. and Khan, Shahjahan. 2008. "Estimation in multiple regression model with elliptically contoured errors under MLINEX loss." Journal of Applied Probability and Statistics. 3 (1), pp. 23-35.

Prediction distribution for linear regression model with multivariate student-t errors

Rahman, Azizur and Khan, Shahjahan. 2008. "Prediction distribution for linear regression model with multivariate student-t errors." Far East Journal of Theoretical Statistics. 24 (1), pp. 35-48.

Shrinkage estimators of intercept parameters of two simple regression models with suspected equal slopes

Khan, Shahjahan. 2008. "Shrinkage estimators of intercept parameters of two simple regression models with suspected equal slopes." Communications in Statistics: Theory and Methods. 37 (2), pp. 247-260. https://doi.org/10.1080/03610920701648961

Comparison of estimators of means based on p-samples from multivariate Student-t population

Khan, Shahjahan and Saleh, A. K. Md. Ehsanes. 1998. "Comparison of estimators of means based on p-samples from multivariate Student-t population." Communications in Statistics: Theory and Methods. 27 (1), pp. 193-210. https://doi.org/10.1080/03610929808832660

Prediction distribution for linear regression model with multivariate Student-t errors under the Bayesian approach

Rahman, Azizur and Khan, Shahjahan. 2007. "Prediction distribution for linear regression model with multivariate Student-t errors under the Bayesian approach." Ismail, Fudziah, Tarmizi, Rohani, Midi, Habsha, Said, Mohamad and Abbas, Zulkifly (ed.) 3rd International Conference on Research and Education in Mathematics (ICREM3). Kuala Lumpur, Malaysia 10 - 12 Apr 2007 Kuala Lumpur, Malaysia.

Shrinkage estimation of the slope parameters of two parallel regression lines under uncertain prior information

Khan, Shahjahan. 2006. "Shrinkage estimation of the slope parameters of two parallel regression lines under uncertain prior information." Model Assisted Statistics and Applications: an international journal. 1 (3), pp. 193-205.

Estimation of the parameters of two parallel regression lines under uncertain prior information

Khan, Shahjahan. 2003. "Estimation of the parameters of two parallel regression lines under uncertain prior information." Biometrical Journal: journal of mathematical methods in biosciences. 45 (1), pp. 73-90. https://doi.org/10.1002/bimj.200290017

Improved estimation of the mean vector for Student-t model.

Khan, Shahjahan. 2000. "Improved estimation of the mean vector for Student-t model." Communications in Statistics: Theory and Methods. 29 (3), pp. 507-527.

Distribution of sum of squares and products matrices for the generalized multilinear matrix-T model

Khan, Shahjahan. 2002. "Distribution of sum of squares and products matrices for the generalized multilinear matrix-T model." Journal of Multivariate Analysis. 83, pp. 124-140. https://doi.org/10.1006/jmva.2001.2040

Distribution of future location vector and residual sum of squares for multivariate location-scale model with spherically contoured errors

Khan, Shahjahan and Kabir, Md Enamul. 2006. "Distribution of future location vector and residual sum of squares for multivariate location-scale model with spherically contoured errors." Journal of Statistical Theory and Applications. 5 (2), pp. 91-104.

Predictive distribution of regression vector and residual sum of squares for normal multiple regression model

Khan, Shahjahan. 2004. "Predictive distribution of regression vector and residual sum of squares for normal multiple regression model." Communications in Statistics: Theory and Methods. 33 (10), pp. 2423-2443. https://doi.org/10.1081/STA-200031471

Preliminary test estimators for the multivariate normal mean based on the modified W, LR and LM tests

Khan, S. and Hoque, Z.. 2003. "Preliminary test estimators for the multivariate normal mean based on the modified W, LR and LM tests." Journal of Statistical Research. 37 (1), pp. 43-55.