N. Balakrishnan
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Distinguished University Professor
HH 206A
(905) 525 9140 ext. 23420
(905) 522-0935

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

Stats 3D03
Stats 756

Stats 743
Stats 770

Math 4P06

On Research Leave

Publications available here.

Currently Supervising:
Tian Feng (PhD Math, Stats)
Mu He (PhD Math)
Aleksandar Jovic (MSc Stats)
Kai Liu (PhD Math (Stats))
Kavitha Neelangol (MSc Stats)
Chengwei Qin (PhD Math)
Tao Tan (PhD Math (Stats))
Yan Qiao Wang (PhD Math, Stats)
Chenxi Yu (MSc Stats)

Past Students:
Hon Yiu So
Ick Huh
Yanling Jin
Suvra Pal
Helton Saulo
Li Zhang
Xiaojun Zhu
Omar Alghamdi
Xinyang Wu (PhD, visiting student)
Lia Morita (PhD, visiting student)

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McMaster University - Faculty of Science | Math & Stats