Dr MGM Khan

[BSc Cal. MSc MPhil PhD Alig.]

Title : Associate Professor

Room # : Level 3, Builidng A, Japan-Pacific ICT Center

Discipline : Mathematics/Statistics

Email : khan_mg(at)usp.ac.fj

Phone : 32 32507

Fax : 32 31527

External Link : http://www.staff.usp.ac.fj/~khan_mg/

 

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Courses taught at USP :

Undergraduate Courses

• MA231: Applied Statistics
• MA341: Numerical Analysis and Linear Programming
• ST131: Introduction to Statistics
• ST231: Statistical Inference
• ST301: Regression Analysis and Stochastic Process
• ST302: Statistical Computing
• ST331: Regression Analysis and Design of Experiments

Postgraduate Courses

• MA462: Operations Research
• ST401: Sampling Theory
• ST402: Design of Experiments
• ST403: Advanced Mathematical Programming

Research Interests

• Mathematical Programming
• Sampling Theory and Survey Sampling
• Statistical Modeling and Computation
• Operations Research
• Forecasting
• Clustering
• Software Reliability

Journal Reviews

• Aligarh Journal of Statistics
• Computational Statistics and Data Analysis
• INFORMS Journal of Computing
• International Journal of Pure and Applied Sciences
• International Journal of Quality & Reliability Management
• Journal of Advanced Research in Applied Mathematics
• Journal of Environmental Management
• Journal of Official Statistics
• Journal of Statistics
• Journal of Mathematical Modelling and Algorithms
• Metron
• Nutrition Journal
• Optimization
• Pakistan Journal of Statistics
• Statistical Papers
• Survey Methodology
• South Pacific Journal of Natural and Applied Science

Selected Publications

2011

1. Khan, M.G.M., Ahmad, N. and Prasad, V.D. (2011) “Optimal Compromise Allocation in Two-stage and Stratified Two-stage Sampling Designs for Multivariate Study” Journal of Applied Statistical Science, Vol.19. (in print).
2. Varshney, R.; Ahsan, M.J. and Khan, M.G.M. (2011) “An Optimum Multivariate Stratified Sampling Design with Nonresponse: A Lexicographic Goal Programming Approach” Journal of Mathematical Modelling and Algorithms, Vol. 10(4), 393-405, DOI: 10.1007/s10852-011-9164-2.
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.
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.

2010

1. 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.
2. 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.
3. 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.
4. 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.

2009

1. Khan, M.G.M.; Ahmad, N. and Khan, Sabiha (2009) “Determining the Optimum Stratum Boundaries using Mathematical Programming”, Journal of Mathematical Modelling and Algorithms”, Vol. 8(4), 409-423, DOI 10.1007/s10852-009-9115-3.
2. 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.
3. 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.
4. 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.

2008

1. 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.
2. 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.
3. 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.
4. 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.
5. 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.

2005

1. 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.
2. Ahsan, M.J.; Nujmussehar and Khan, M.G.M. (2005) “Mixed Allocation in Stratified Sampling”, The Aligarh Journal of Statistics, Vol. 25, 1-11.

2003

1. Khan, M.G.M. (2003) “Letter to the editor”, Rejoinder to letter to the editor from D. Whitaker concerning ‘Khan, M.G.M.; Khan, E.A. & Ahsan, M. J. (2003) An Optimal Multivariate Stratified Sampling Design Using Dynamic Programming’, Australian & New Zealand Journal of Statistics, Vol. 45(4), 503-504.
2. 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.
3. 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.
4. 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.

2002

1. 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.

2001

1. 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.

1998

1. 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.

1997

1. 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.
2. 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.

1996

1. 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.

1995

1. 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, Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India, 74-81. India.

1994

1. Jahan, N.; Khan, M.G.M. and Ahsan, M.J. (1994), “A Generalized Compromise Allocation,” Journal of Indian Statistical Association, Vol.32, 95-101.

1993

1. 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, Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India, 74-78.

Conference

2011

1. Reddy, Karuna. and Khan, M.G.M. (2011), “Usage of Mathematical Programming for Optimal Health Care” International Conference for Health Statistics in the Pacific Islands, Suva, Fiji, July 5-8, 2011.
2. Khan, M.G.M.; Rao, Dinesh; Ansari, A.H. and Ahsan, M.J. (2011) “Determining optimum strata boundaries for skewed population using log-normal distribution” Proceedings of the Annual International Conference on Operations Research and Statistics (ORS 2011), pp.7-9.
3. Varshney, R.; Khan, M.G.M.; and Ahsan, M.J. (2011), “An Integer Compromise Allocation” International Conference, Department of Statistics, Banaras Hindu University, Varanasi, India, January 5-8, 2011.

2010

1. 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” International Conference on Mathematics of Date, Allahabad, India, December 31, 2010-January 04, 2011.
2. Khan, M.G.M. and Khan, Sabiha (2010), “Multivariate Calibration Estimator in Stratified Sampling” First International Conference on Theory and Application of Statistics, Dhaka, Bangladesh, December 26-28, 2010.
3. Khan, M.G.M.; Reddy, Karuna and Rao, Dinesh (2010), “Optimum stratification of skewed population using Weibull distribution with auxiliary information” Australian Statistical Conference (ASC 2010), Fremantle, Australia, December 6-10 2010.

2009

1. 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.
2. 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.

2008

1. 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.
2. 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.
3. 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.

2006

1. Khan, M.G.M. and Chand, M. (2006), “Optimum Allocation in Two-stage and Stratified Two-stage Sampling for Multivariate Surveys”, 2006 Joint Statistical Meetings, Seattle, Washington, USA, August 6 – 10, 2006.

2005

1. 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.
2. 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.
3. Khan, M.G.M.; Khan, E.A. and Ahsan, M.J. (2005), “Optimum Allocation and Size of Subsamples in Multivariate Stratified Sampling in Presence of Non-response”, First South Pacific Conference on Mathematics, Noumea, New Caledonia, August 29-September 2, 2005.

2003

1. Khan, M.G.M.; Najmussehar and Ahsan, M.J. (2003), “Optimum Stratification for Exponential Study Variable under Neyman Allocation”, 54th Biennial Session International Statistical Institute, Berlin, Germany, August 13-20, 2003.

2002

1. Khan, M.G.M. and Ahsan, M.J. (2002), “An Optimum Allocation in Multivariate Stratified Sampling”, Hawaii International Conference on Statistics and Related Fields, Hawaii, June 5-9, 2002.
2. Khan, E.A.; Khan, M.G.M. and Ahsan, M.J. (2002), “Optimum Stratification: A Mathematical Programming Approach, Optimization Days 2002, Montreal, Canada, May 6-8, 2002.

1997

1. Khan, M.G.M.; Khan, E.A. and Ahsan, M. J. (1997), “An Optimum Multivariate Stratified Sampling Design Using Dynamic Programming, IIIrd International Triennial Calcutta Symposium on Probability and Statistics, Calcutta, India, Dec.26-28, 1997.

1995

1. Khan, M.G.M.; Jahan, N. and Ahsan, M.J. (1995) “On optimum Choice of the Size of the Sampling Unit”, III International Symposium on Optimization and Statistics, Dept. of Statistics & O.R., Aligarh Muslim University, Aligarh, India, Dec. 19-21, 1995.
2. Khan, M.G.M.; Khan, E.A. and Ahsan, M. J. (1995), “On Compromise Allocation in Multivariate Stratified Sampling”, III International Symposium on Optimization and Statistics, Dept. of Statistics & O.R., Aligarh Muslim University, Aligarh, India, Dec. 19-21, 1995.

1994

1. Khan, M.G.M.; Jahan, N. and Ahsan, M.J. (1994), “Determining the Optimum Cluster Size”, Fourth Islamic Countries Conference on Statistical Sciences, Lahore, Pakistan, Aug 27-31, 1994.
2. Jahan, N.; Khan, M.G.M. and Ahsan, M.J. (1994), “A Generalized Compromise Allocation”, Fourth Islamic Countries Conference on Statistical Sciences, Lahore, Pakistan, Aug 27-31, 1994.

Selected Projects

• Development of Exchange Rate Forecasting Models for Fiji and Pacific Island Countries, 2012, University Research Cluster, USP, Fiji.

Grants Received

• Secured $41620 from the University Research Cluster, USP, Fiji, 2012.

Achievements

1. Gold Medal, M.Sc. Statistics Examination, 1989
2. Gold Medal, Combined M.Sc. Examination, 1989
3. Junior Research Fellowship, A.M.U., 1992 – 1994
4. Senior Research Fellowship, A.M.U., 1994 –1996
5. Best Paper Award by Indian Society of Agricultural Statistics, India for the paper entitled “Determining the Optimum Cluster Size” published in its journal during 1997 – 1999.

Consultancy

1. Statistical Analysis of PDSU Students Performance, 2004:
2. Fiji National Nutrition Survey, 2004
3. Micronutrient Status of Women in Fiji, 2004
4. SPSS Training at USP, 2009
5. Workshop on Statistics and SPSS at IAS, USP, 2009
6. Statistical Analysis and Report on “Staff Engagement Survey” for Training & Productivity Authority of Fiji (TPAF), 2010
7. First Year Academic Performance Study at USP, 2011