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.