American Journal of Mathematics and Statistics

American Journal of Mathematics and Statistics is to publish well-written original research articles and studies describing the latest research and developments in the field of mathematics and statistics. This is a broad-based journal covering all branches of mathematics, statistics and interdisciplinary research.

M.G.M. Khan

Editorial Board Member of American Journal of Mathematics and Statistics

Associate Professor, The University of the South Pacific, Fiji

Research Areas

Mathematical Programming, Sampling Methods, Sample Survey, Optimization, Statistical Computing & Data Analysis, Statistical Modeling, Operations Research

Education

1996Ph.DAligarh Muslim University, Aligarh, India
1992M.PhilAligarh Muslim University, Aligarh, India
1989M.ScAligarh Muslim University, Aligarh, India
1985B.ScUniversity of Calcutta, Calcutta, India

Experience

2010-presentAssociate Professor, School of Computing, Information and Mathematical Sciences, The University of the South Pacific, Suva, Fiji
2004-2009Senior Lecture, School of Computing, Information and Mathematical Sciences, The University of the South Pacific, Suva, Fiji
2008Visiting Scholar, Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India
2007-2008Visiting Scholar, Department of Statistics, Iowa State University, Ames, Iowa, USA
2001-2003Lecture, School of Computing, Information and Mathematical Sciences, The University of the South Pacific, Suva, Fiji
1998-2001Lecturer, Department of Statistics, M. S. College of Arts and Science, University of Madras, Chennai, India
1999-2001Visiting Faculty, Bharat Institute of Science and Technology, University of Madras, Chennai, India
1997-1998Visiting Fellow, Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India
1996-1997Lecturer, Department of Statistics, Poona College of Arts, Science and Commerce, University of Pune, Pune, India
1996-1997Visiting Faculty, Poona Institute of Management Science and Entrepreneurship, University of Pune, Pune, India
1990-1996Research Scholar, Department of Statistics, Aligarh Muslim University, Aligarh, India

Membership

Elected member of the International Statistical Institute (ISI)
Member of International Association of Survey Statistician (IASS)
Member of American Statistical Association (ASA)
2011: Member, Executive Committee, Association of the University of the South Pacific Staff
2008: Member, Industry Advisory Committee (IAC), School of Commerce, Fiji Institute of Technology
2004: President, USP Mathematical Association
2003-2006: Member, Executive Committee, The South Pacific Computer Society
1993-1994: Counselor, Research Scholar Association, Aligarh Muslim University

Publications: Conferences/Workshops/Symposiums/Journals/Books

[1]  Khan, M.G.M., Ahmad, N. and Prasad, V.D. (2012) "Optimal Compromise Allocation in Twostage and Stratified Two-stage Sampling Designs for Multivariate Study" Journal of Applied Statistical Science, Vol.19. (in print). U.S.A.
[2]  Ahmad, N.; Khan, S. and Khan, M.G.M. (2011) "Planning Accelerated Life Tests for Burr Type X Failure Model with Type I Censoring". Journal of Statistical Theory and Applications. (accepted). U.S.A.
[3]  Ahmad, N.; Khan, M.G.M.; Rafi, L.S. (2011) "Analysis of an Inflection S-shaped Software Reliability Model Considering Log-logistic Testing-Effort and Imperfect Debugging", International Journal of Computer Science and Network Security, Vol. 11(1), 161-171. Korea.
[4]  Ahmad, N.; Khan, M.G.M.; Quaddri, S. M. K. and Kumar, M. (2011) "Software Reliability Growth Models Incorporating Burr Type III Test-Effort and Cost-reliability Analysis", International Journal of Computer Science and Information Technologies, Vol. 2 (1) , 555-562.
[5]  Khan, M.G.M.; Maiti, T. and Ahsan, M.J. (2010) "An Optimal Multivariate Stratified Sampling Design using Auxiliary Information: An Integer Solution using Goal Programming Approach", Journal of Official Statistics, Vol.26(4), 695-708. Statistics Sweden.
[6]  Khan, M.G.M.; Khowaja, S.; Ghufran, S.; Varshney, R. and Ahsan, M.J. (2010) "A Comparative Study of Various Compromise Criteria in Multiple Qualitative Response Stratified Sampling" Journal of Statistics Sciences, Vol 2(1), 1-12. International Science Press, India.
[7]  Ahmad, N., Khan, M.G.M. and Rofi, L.S. (2010) "A Study of Testing-Effort Dependent Inflection S-Shaped Software Reliability Growth Models with Imperfect Debugging" International Journal of Quality and Reliability Management, Vol. 27(1), 89-110. Emerald, U.K.
[8]  Khan, M.G.M.; Ahmad, N. and Khan, Sabiha (2009) "Determining the Optimum Stratum Boundaries using Mathematical Programming", Journal of Mathematical Modelling and Algorithms", Springer, Netherland, DOI 10.1007/s10852-009-9115-3, Vol. 8(4), 409-423.
[9]  Nand, N. and Khan, M.G.M. (2009) "Optimum Stratification for Cauchy and Power Type Study Variables, " Journal of Applied Statistical Science, Vol.16(4) 453-462. U.S.A.
[10]  Ahmad, N.; Khan, M.G.M.; Quaddri, S. M. K. and Kumar, M. (2009) "Modeling and Analysis of Software Reliability with Burr Type X Testing-Effort and Release-Time Determination" Journal of Modelling in Management, Vol. 4(1), 28-54. Emerald, U.K.
[11]  Ahsan, M.J.; Nujmussehar and Khan, M.G.M. (2009) "Mixed Allocation for Fixed Precision", Pure and Applied Mathematika Sciences, Vol. 69(1-2), 93-103. India.
[12]  Khan, M.G.M.; Nand, N. and Ahmad, N. (2008) "Determining the Optimum Strata Boundary Points using Dynamic Programming, " Survey Methodology, Vol. 34(2), 205-214. Statistics Canada, Canada.
[13]  Khan, M.G.M., Ahmad, N. and Rafi, L.S. (2008) "Optimal Testing Resource Allocation for Modular Software Based on a Software Reliability Growth Model: a Dynamic Programming Approach" IEEE Proceedings of 2008 International Conference on Computer Science and Software Engineering, Vol. 2, 759-762. IEEE Computer Society.
[14]  Ahmad, N.; Bokhari, M.U.; Quadri, S.M.K. and Khan, M.G.M. (2008) "The Exponentiated Weibull Software Reliability Growth Model with Various Testing-efforts and Optimal Release Policy: A Performance Analysis" International Journal of Quality and Reliability Management, Vol. 25 (2), 211-235. Emerald, U.K.
[15]  Khan, M.G.M.; Khan, E.A. and Ahsan, M.J. (2008) "Optimum Allocation in Multivariate Stratified Sampling in Presence of Non-response, " Journal of the Indian Society of Agricultural Statistics, Vol. 62(1), 42-48. India.
[16]  Khan, M.G.M.; Chand Munish A. and Ahmad, Nesar (2006) "Optimum Allocation in Two-stage and Stratified Two-stage Sampling for Multivariate Surveys" 2006 Proceedings of the American Statistical Association, Survey Research Methods Section, American Statistical Association, Alexandria, VA, 3215-3220. U.S.A.
[17]  Khan, M.G.M.; Najmussehar and Ahsan, M.J. (2005) "Optimum Stratification for Exponential Study Variable under Neyman Allocation", Journal of the Indian Society of Agricultural Statistics, Vol. 59(2), 146-150. India.
[18]  Ahsan, M.J.; Nujmussehar and Khan, M.G.M. (2005) "Mixed Allocation in Stratified Sampling", The Aligarh Journal of Statistics, Vol. 25, 1-11. India.
[19]  Khan, M.G.M.; Khan, E.A. and Ahsan, M. J. (2003) "An Optimal Multivariate Stratified Sampling Design Using Dynamic Programming", Australian & New Zealand Journal of Statistics, Vol. 45(1), 107-113. Blackwell Publishing, Australia.
[20]  Khan, E.A.; Khan, M.G.M. and Ahsan, M. J. (2003) "On Compromise Allocation in Multivariate Stratified Sampling", The Aligarh Journal of Statistics, Vol. 23, 31-47. India.
[21]  Khan, M.G.M. and Ahsan, M.J. (2003) "A Note on Optimum Allocation in Multivariate Stratified Sampling", The South Pacific Journal of Natural Science, Vol. 21, 91-95. Fiji. Khan, E.A.; Khan, M.G.M. and Ahsan, M.J. (2002) "Optimum Stratification: A Mathematical Programming Approach", Calcutta Statistical Association Bulletin, Vol. 52(Special), 323-333. India.
[22]  Khan, E.A.; Khan, M.G.M. and Ahsan, M.J. (2002) "Optimum Stratification: A Mathematical Programming Approach", Calcutta Statistical Association Bulletin, Vol. 52(Special), 323-333. India.
[23]  Jahan, N.; Khan, M.G.M. and Ahsan, M.J. (2001) "Optimum Compromise Allocation Using Dynamic Programming", Dhaka University Journal of Science, Vol. 49(2), 197-202. Bangladesh.
[24]  Khan, M.G.M.; Khan, E.A. and Jahan, N. (1998) "Determining the Optimum Number of Strata-II, " Frontiers in Probability and Statistics, Narosa Publishing House, New Delhi, 215-225. India.
[25]  Khan, M.G.M.; Jahan, N. and Ahsan, M.J. (1997) "Determining the Optimum Cluster Size." Journal of the Indian Society of Agricultural Statistics, Vol.50 (2), 121-129.
[26]  Khan, M.G.M.; Ahsan, M. J. and Jahan, N. (1997) "Compromise allocation in Multivariate Stratified Sampling: An Integer Solution, " Naval Research Logistics, Vol.44, 69-79. John Wiley, U.S.A.
[27]  Khan, M.G.M.; Khan, E.A. and Jahan, N. (1995-96) "Optimum Number of Strata for Surveys with Small Sample Size, " The Aligarh Journal of Statistics, Vol.15&16, 27-34. India.
[28]  Khan, M.G.M.; Jahan, N. and Ahsan, M.J. (1995) "On Optimum Choice of the Size of the Sampling Unit, " Proceedings of the III International Symposium on Optimization and Statistics, Published by the Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India, 74-81. India.
[29]  Jahan, N.; Khan, M.G.M. and Ahsan, M.J. (1994), "A Generalized Compromise Allocation, " Journal of Indian Statistical Association, Vol.32, 95-101. India.
[30]  Khan, E.A.; Khan, M.G.M. and Ahsan, M.J. (1993) "Determining the Optimum Number of Strata, " Proceedings of the II International Symposium on Optimization and Statistics, Published by the Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India, 74-78. India.
[31]  Khan, M.G.M. (2008), Review of "Statistics for Real-Life Sample Surveys: Non-Simple-Random Samples and Weighted Data" The American Statistician, Vol. 62(4), pp. 361-361.
[32]  Reddy, Karuna.; and Khan, M.G.M. (2011), "Usage of Mathematical Programming for Optimal Health Care" presented at the International Conference for Health Statistics in the Pacific Islands, Suva, Fiji, July 5-8, 2011,
[33]  Varshney, R.; Khan, M.G.M.; and Ahsan, M.J. (2011), "An Integer Compromise Allocation" presented at the International Conference organized by the Department of Statistics, Banaras Hindu University, Varanasi, India, January 5-8, 2011.
[34]  Khan, M.G.M.; Ghufran, S.; Khowaja, S. and Ahsan, M.J. (2010-11), "An Optimum Multivariate Stratified Sampling Design in Presence of Non-response Using Dynamic Programming" presented at the International Conference on Mathematics of Date, Allahabad, India, December 31, 2010-January 04, 2011.
[35]  Khan, M.G.M. and Khan, Sabiha (2010), "Multivariate Calibration Estimator in Stratified Sampling" presented at the First International Conference on Theory and Application of Statistics, Dhaka, Bangladesh, December 26-28, 2010.
[36]  Khan, M.G.M.; Reddy, Karuna and Rao, Dinesh (2010), "Optimum stratification of skewed population using Weibull distribution with auxiliary information" presented at the Australian Statistical Conference (ASC 2010), Fremantle, Australia, December 6-10 2010.
[37]  Ahmad, N.; Khan, M.G.M. and Rafi, L. S. (2010), "Software Reliability Modeling Incorporating Log-Logistic Testing-Effort with Imperfect Debugging" Proceedings of the International Conference on Modeling, Optimization and Computing (ICMOC 2010), edited by S. Paruya, S. Kar and S.Roy, American Institute of Physics, NY, pp 651-657.
[38]  Pratap, Arti; Terry, James P.; Gienko, Gennady and Khan, M.G.M. (2009), "Climatic variability: a study of cyclone-track regimes in the tropical South Pacific", SOPAC: Annual Session, October 21-29, 2009, Vanuatu.
[39]  Khan, M.G.M. and Reddy, K. (2009), "Optimum Stratification of Skewed Population using Gamma Distribution and Auxiliary Information" 7th International Triennial Calcutta Symposium, Kolkata, India, December 28-31, 2009.
[40]  Khan, M.G.M.; Ahmad, N. and Khan, S. (2008), "Determining Optimum Strata Boundaries using an Auxiliary Variable from Actual Health Population Data, " VI International Symposium on Optimization and Statistics (ISOS-2008), Aligarh Muslim University, Aligarh, India, December 29-31, 2008.
[41]  Ahmad, N.; Khan, M.G.M. and Rafi, L.S. (2008), "Inflection S-Shaped Software Reliability Growth Models with Testing-Effort Functions", VI International Symposium on Optimization and Statistics (ISOS-2008), Aligarh Muslim University, Aligarh, India, December 29-31, 2008.
[42]  Khan, M.G.M.; Varshney, R.; Khowaja, S.; Ghufran, S; and Ahsan, M.J. (2008), "Compromise Allocation in Multiple Response Stratified Random Sampling using Multiobjective Programming, " VI International Symposium on Optimization and Statistics (ISOS-2008), Aligarh Muslim University, Aligarh, India, December 29-31, 2008.
[43]  Quadri, S. M. K., Ahmad, N., and Khan, M. G. M. (2008), "Performance Analysis of Software Reliability Model with Burr Type X Testing-Effort and Release Time", Proceedings of the 2nd National Conference on Mathematical Techniques: Emerging Paradigms for Electronics and IT Industries, MATEIT-2008, New Delhi, India, pp. 177-187.
[44]  Khan, M.G.M. and Nand, N. (2005) "Determining the Optimum Strata Boundary Points using Mathematical Programming", 55th Session of the International Statistical Institute (ISI), Sydney, Australia, April 5-12, 2005.
[45]  Nand, N. and Khan, M.G.M. (2005) "Use of Mathematical Programming in Optimum Stratification", Australia-New Zealand Industrial and Applied Mathematics (ANZIAM 2005), Napier, New Zealan, January 30-February 3, 2005.
[46]  Khan, M.G.M. (2004) "MA231: Applied Statistics", Published by the University of the South Pacific, Suva, Fiji.
[47]  Khan, M.G.M., Rao, Dinesh, Nand, Niraj and Wojcik, Robert (2008) "MAF12: Foundation Mathematics B, Course Book 3", Published by The University of the South Pacific, Suva, Fiji.
[48]  Khan, M.G.M. (2010) "ST131: Introduction to Statistics", Published by the University of the South Pacific, Suva, Fiji.