ESO-209 : PROBABILITY AND STATISTICS

MTH-101 : MATHEMATICS-I (Tutorials)MTH-311 : PROBABILITY THEORY-I

MTH-411 : PROBABILITY THEORY-IIMTH-412 / SE-359 : STOCHASTIC PROCESSES / APPLIED STOCHASTIC PROCESSESMTH-413: REAL AND COMPLEX ANALYSIS

MTH-415 : MATRIX THEORY AND LINEAR ESTIMATION

MTH-418 : INFERENCE-IMTH-425: DISTRIBUTIONS IN STATISTICS

MTH-511 : STATISTICAL SIMULATION AND DATA ANALYSIS

MTH-514 : MULTIVARIATE ANALYSIS

MTH-515 : INFERENCE-II

MTH-516 : NON-PARAMETRIC INFERENCE

MTH-681 : STATISTICAL DECISION THEORYMTH-754: PROBABILITY THEORY

MTH-755 : STATISTICAL INFERENCE

MTH-784 : STATISTICAL RELIABILITY THEORY 

• Stochastic comparisons of residual lifetimes and inactivity times of coherent systems with dependent identically distributed components. European Journal of Operations Research, 2015, 240(2), 425-430(jointly with N Gupta and S Kumar).
• Monotonicity of certain integrals involving gamma distributions and their applications in multiple comparisons. Statistics and Probability Letters, 2014, 85, 144-152 (jointly with Mohd. Arshad).
• Selecting the best of two gamma populations having unequal shape parameters. Statistical Methodology, 2014, 18, 41-63 (jointly with Mohd. Arshad).
Stochastic properties of conditionally independent mixture models. Journal of Statistical Planning and Inference, 2012, 142(6), 1599-1607 (jointly with A K Mishra).
• Active redundancy allocations in series systems. Probability in Engineering and Informational Sciences, 2011, 25(2), 219-235 (jointly with A K Mishra and I D Dhariyal).
• Standby redundancy allocations in series and parallel systems. Journal of Applied Probability, 2011, 48(1), 43-55 (jointly with A K Mishra and I D Dhariyal).
• Nearest neighbor estimates of entropy for multivariate circular distributions. Entropy, 2010, 12(5), 1125–1144 (jointly with H Singh and H Vladimir).
• Optimal allocation of active spares in series systems and comparison of component and system redundancies. Journal of Applied Probability, 2009, 46(1), 19-34 (jointly with N. Gupta and I. D. Dhariyal).
• Use of prior information in the consistent estimation of regression coefficients in measurement error models. Journal of Multivariate Analysis, 2009, 100(7), 1498-1520 (jointly with Shalabh and G Garg).
• Nearest neighbor estimates of entropy. American Journal of Mathematical and Management Sciences, 2003, 23, 301-321. (jointly with H. Singh, Vladimir Hnizdo, Adam Fedorowicz and E. Demchuk).

 

• I have varied research interests in Theoretical/Mathematical Statistics. Although I primarily work in the areas of Theoretical/Mathematical Statistics, some of the research methodologies proposed by me and my co-workers have found interesting applications in molecular sciences and engineering. My current research interests can be classified into following five broad areas :
• Entropy Estimation
• Applied Probability
• Theory of Stochastic Orders and Its Applications
• Estimation in Restricted Parametric Space
• Ranking and Selection Problems and Related Estimation Problems

 

• Professor, Indian Institute of Technology Kanpur, India (2005 - Present)
• Associate Professor, Indian Institute of Technology Kanpur, India (2002 - 2005)
• Assistant Professor, Indian Institute of Technology Kanpur, India (1996 - 2002)
• Visiting Assistant Professor, West Virginia University, Morgantown, USA (2001-2002)
• Visiting Assistant Professor, Marquette University, Milwaukee, USA (2000-2001)
• Research Fellow, Katholieke University Leuven, Belgium (1994-1996; 2000)
• Lecturer, Panjab University Chandigarh, India (1990-1994)

 

• Indian Institute of Technology Kanpur, India (1996 - Present)
• West Virginia University, Morgantown, USA (2001-2002)
• Marquette University, Milwaukee, USA (2000-2001)
• Katholieke University Leuven, Belgium (1994-1996; 2000)
• Panjab University Chandigarh, India (1990-1994)

 

• Jacob Wolfowitz Award 2003 for theoretical advances in Mathematical and Management Sciences for the research paper "Simultaneous Multiple Comparisons with the Worst and best", given by American Journal of Mathematical and Management Sciences, New York, USA.
• C. L. Chandna Mathematics Award 2003 for distinguished and outstanding contributions to Mathematics research and teaching, given by Saraswati Vishvas Canada (a chapter of Canadian World Education Foundation).
• Received appreciation letters from the Chairman, Senate, on several occasions for outstanding teaching in various courses at the Indian Institute of Technology, Kanpur.
• Secured All India Rank No. 2 (with 99.04 percentile) in the Mathematics discipline of the Common Examination for Research Admissions 1985, conducted by I.I.T's.
• General Proficiency Award for the best outgoing student in the M.Sc. (Statistics) program of the I.I.T., Kanpur.
• Certificate of Merit for academic excellence in the first year of the M.Sc. program of the I.I.T., Kanpur.

 

Office

FB 515
Department of Mathematics & Statistics
IIT Kanpur,
Kanpur 208016

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