http://www.math.mcmaster.ca/bala/bala.html

Research Area: Probability & Statistics

Research Profile: Order statistics, distribution theory.
My research interests are in order statistics, outliers, distribution theory, statistical inference, records, multivariate analysis, and industrial statistics. Order statistics arise naturally in many problems such as life-testing and reliability experiments, outlier detection, robust inference, etc. My work in this area covers both theoretical (like bounds, approximations, recurrence relations, characterizations, etc.) as well as applied (like linear inference, acceptance sampling plans, tolerance limits, prediction, etc.) aspects. Another major area of interest to me is statistical distribution theory. Statistical distributions play a fundamental role in many applied problems and form the basis for model building and parametric statistical inference. My contributions to this area have been through proposing new distributions, developing inference techniques for several distributions, and deriving characterizations of distributions. My most recent work concerns order statistics under non-standard conditions. Work in this direction is carried out by using permanents (of some special matrices) and their properties.

Order statistics, distribution theory

2020/2021
Stats 4M03/6M03
Stats 743

2019/2020
Stats 3S03
Stats 4M03/6M03
Stats 743

2018/2019
Stats 743

2017/2018
Stats 3D03
Stats 756

2016/2017
Stats 743
Stats 770

2015/2016
Math 4P06
Stats 756
Stats 770

2014/2015
Stats 744
Stats 770

2013/2014
On Research Leave