Precedence Test and Some Nonparametric Alternatives
ABSTRACT:
In this talk, I will first introduce the precedence test as
was originally proposed by Nelson (1963, Technometrics). I will then
discuss an alternative called as "maximal precedence test" and discuss
their relative merits and also present their null distributions, exact
power under Lehmann alternative as well as simulated power under
location-shift alternative. Next, I will propose Wilcoxon-type rank-sum
precedence tests and discuss their null distribution and power and make a
comparison of their power properties with those of precedence and maximal
precedence tests. Finally, I will give some illustrative examples.
This work has been done collaboratively with R. Frattina and H.K.T. Ng.
About the Speaker
Prof. Balakrishnan did his B.Sc. and M.Sc. degrees at Madras
University in India. His PhD is from the Indian Institute of
Technology. He is currently a professor in the Department of Mathematics
and Statistics at McMaster University. His research interests include Order Statistics,
Inferential Methods, Distribution Theory, Life-testing and Reliability, Multivariate Analysis and Robust Inference. He is a Fellow of the American Statistical
Association and an Elected Member of the International Statistical Institute. Dr. Balakrishnan is on the editorial board of many journals including
Naval Research Logistics and Computational Statistics & Data Analysis and
is editor in chief of Communications in Statistics. Dr. Balakrishnan is
very well known for the large number of books and volumes that he has
written or edited as well as his invited talks around the world.
References
The following references give some background to the topic. Both
journals are available in the Thode Library.
Nelson, L. S. (1963) Tables for a precedence life test.
Technometrics5 491-499.
Nelson, L. S. (1993) Tests on early failures -- The precedence life test.
Journal of Quality Technology25 140-143
