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International Conference on Statistics, Combinatorics and Related Areas
October 3-5, 2003
University of Southern Maine
Portland, ME, USA

Organizers
Dr. Sat Gupta (University of Southern Maine), Dr. Satya Mishra (University of South Alabama), Dr. Bhu Dev Sharma (Clark Atlanta University)

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Estimating Average Worth of the Selected Subset from Exponential Populations
by
Aditi Gangopadhyay
Mathematics Group, Birla Insitute of Technology and Science, Pilani, (Rajasthan) 333 031 INDIA
Coauthors: Somesh Kumar (Department of Mathematics, Indian Institute of Technology Kharagpur 721 302 INDIA)

Suppose a subset of populations is selected from the given k exponential populations with a common location \theta and scale parameters \sigma1, \sigma2, ... , \sigmak respectively, using Gupta's (1963, 1965) rule. The problem is to estimate the average worth W of the selected subset. In this paper, we derive the uniformly minimum variance unbiased estimator (UMVUE) of W. We have compared numerically the bias and risk functions of the above estimator, natural analogue of the best affine equivariant estimator and the analogue of the natural estimator.

References

Gupta, S.S. (1963). On a selection and ranking procedure for gamma populations. Ann. Inst. Statist. Math., 14, 199-216.
Gupta, S.S. (1965). On some multiple decision (selection and ranking) rules. Technometrics, 7, 225-245.

Date received: March 24, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cakp-02.