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International Conference on Statistics, Combinatorics and Related Areas and the Eighth International Conference of Forum for Interdisciplinary Mathematics
December 19-21, 2001
School of Mathematics and Applied Statistics, University of Wollongong
Wollongong, NSW, Australia

Organizers
Satya N. Mishra (University of South Alabama), Chandra M. Gulati (University of Wollongong)

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Estimating Parameters of a Selected Pareto Population
by
Somesh Kumar
Department of Mathematics, IIT Kharagpur - 721 302, INDIA

Independent random samples are taken from k Pareto populations with unknown scale parameters a1, a2, …., ak and known shape parameters b1, b2, …., bk respectively. The population corresponding to the largest Xi, where Xi denotes the smallest observation of the ith sample, is selected as the best. For estimation of aJ, the scale parameter of the selected best population, an unbiased estimate is obtained under certain conditions. An admissible class of linear estimators is also derived. Finally, a general inadmissibility result is proved for the scale invariant estimators.

Date received: December 6, 2001

Copyright © 2001 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 Conferences Inc. Document # caim-25.