Convergence of Known Distributions to Normality or Non-normality: An Elementary Ratio Technique

Friday June 1, 2pm, Carslaw 173

Subhash Bagui
University of West Florida, Department of Mathematics and Statistics

Convergence of Known Distributions to Normality or Non-normality: An Elementary Ratio Technique

This talk presents an elementary informal technique for deriving the convergence of known discrete/continuous type distributions to limiting normal or non-normal distributions. The technique utilizes the ratio of the pmf/pdf at hand at two consecutive/nearby points.

The presentation should be of interest to teachers and students of first year graduate level courses in probability and statistics.

Subhash C. Bagui received his B.Sc. in Statistics from University of Calcutta, M. Stat. from Indian Statistical Institute and Ph.D. from University of Alberta, Canada. He is currently a University Distinguished Professor at the University of West Florida. He has authored a book titled, "Handbook of Percentiles of Non-central t-distribution", and published many high quality peer reviewed journal articles. He is currently serving as associate editors/ editorial board members of several statistics journals. His research interests include nonparametric classification and clustering, statistical pattern recognition, machine learning, central limit theorem, and experimental designs. He is also a fellow of American Statistical Association (ASA) and Royal Statistical Society (RSS).