Areas of Interest

• Decision Theory
• Computers in Probability and Statistics
• Psuedo-random number generation
• Inference on finite sequences
• Exchangeability

Education

• Ph. D. Statistics (1981) Stanford University
  Thesis: A finite form of de Finetti's theorem for Markov Exchangeability
  Advisor: Persi Diaconis

• M. A. Applied Mathematics (1977) Claremont Graduate School
  Thesis: A phenomenological model of Time Dependent Uranium-Plutonium Oxide Fuel Restructuring
  Advisor: Jerome Spanier

• B. S. Mathematics (1976) Harvey Mudd College

Positions

• 2000-02 Dean, , School of Arts and Sciences,  Lahore University of Management Science
• 1999-00 Associate Dean, School of Arts and Sciences,  Lahore University of Management Science
• 1996-now Professor,  Lahore University of Management Science
• 1994-96 Associate Professor, Lahore University of Management Science
• 1989-94 Associate Professor, Florida State University
• 1990-91 Visiting Professor, Quaid-i-Azam University, Islamabad, Pakistan (on sabbatical leave)
• 1982-89 Assistant Professor, Florida State University
• 1981-82 Assistant Professor, Purdue University
• 1980 Summer Visiting Lecturer, Applied Economic Research Center, University of Karachi, Pakistan.

Grants

• National Science Foundation grant ($120,000 annually) on Computers and Random Numbers, 1988-1994 (with George Marsaglia)

Publications

• Random Binary Matrices in Bio-ecological Ecology - Instituting a Good Neighbor Policy, Environmental and Ecological Statistics, 9, No. 4, 405-421, 2002, (with D. Simberloff).

• Monkey Tests for Random Number Generators, Computers and Mathematics with Applications, 9, No.9, 1-9, 1995, (with G. Marsaglia).

• Some Very-Long-Period Portable Random Number Generators, Computers in Physics, 8, No. 1, 117-121, 1995, (with G. Marsaglia).

• Rapid Evaluation of the Inverse of the Normal Distribution Function, Statistics and Probability Letters, 19, No. 4, 259-266, 1994, (with G. Marsaglia and J. C. W. Marsaglia).

• A New Class of Random Number Generators, The Annals of Applied Probability, 1 , No. 3, 462-480, 1991, (with G. Marsaglia).

• A Random Number Generator for PC's, Computer Physics Communications, 60, No 3, 345-349, 1990, (with G. Marsaglia and B. Narasimhan).

• The Distance between Random Points in Rectangles, Communications in Statistics, 19, No. 11, 4199-4212, 1990, (with G. Marsaglia and B. Narasimhan).

• Random Selection of Subsets with Specified Element Probabilities, Communications in Statistics, 19, No. 11, 4419-4434, 1990, (with G. Marsaglia).

• Numerical Solution of Some Classical Differential-Difference Equations, Mathematics of Computation, 53, No. 187, 191-201, 1989, (with G. Marsaglia and J. C. W. Marsaglia).

• Toward a Universal Random Number Generator, Statistics and Probability Letters, 9, No. 1, 35-39, 1990, (with G. Marsaglia and Wei Wan Tsang).

• An Algorithm for the Area of the Union of a Collection of Convex Sets, Journal of Statistical Computation and Simulation, 31, No. 1, 46-49, 1989, (with G. Marsaglia and Y. L. Zheng).

• A Finite Form of de Finetti's Theorem for Stationary Markov Exchangeability, Annals of Probability, 14, No. 4, 1418-1427, 1986.

• Urn Models for Markov Exchangeability, Annals of Probability, 12, No. 3, 223-239, 1984.

• A Non-Clustering Property of Stationary Sequences, Annals of Probability, 12, No. 3, 193-203, 1984.

• Stationarity on Finite Strings and Shift Register Sequences, Annals of Probability, 11, No. 3, 678-684, 1983.

• Phenomenological Model of Time Dependant U-Pu Oxide Fuel Restructuring, National Technical Information Service, 1977.

• A Fortran Program to Handle Large Matrices Using Virtual Memory Methods, National Technical Information Service, 1976.