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AVERAGE WORTH AND SIMULTANEOUS ESTIMATION OF THE SELECTED SUBSET

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Title AVERAGE WORTH AND SIMULTANEOUS ESTIMATION OF THE SELECTED SUBSET
 
Creator VELLAISAMY, P
 
Subject gamma-populations
subset selection
estimation after subset selection
average worth
natural estimator
umvue
inadmissibility
simultaneous estimation after selection
 
Description Suppose a subset of populations is selected from the given k gamma G(theta(i), p) (i = 1, 2,..., k) populations, using Gupta's rule (1963, Ann. Inst. Statist. Math., 14, 199-216). The problem of estimating the average worth of the selected subset is first considered. The natural estimator is shown to be positively biased and the UMVUE is obtained using Robbins' UV method of estimation (1988, Statistical Decision Theory and Related Topics IV, Vol. 1 (eds. S. S. Gupta and J. 0. Berger), 265-270, Springer, New York). A class of estimators that dominate the natural estimator for an arbitrary k is derived. Similar results axe observed for the simultaneous estimation of the selected subset.
 
Publisher KLUWER ACADEMIC PUBL
 
Date 2011-08-17T03:44:56Z
2011-12-26T12:55:19Z
2011-12-27T05:44:06Z
2011-08-17T03:44:56Z
2011-12-26T12:55:19Z
2011-12-27T05:44:06Z
1992
 
Type Article
 
Identifier ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 44(3), 551-562
0020-3157
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9730
http://hdl.handle.net/10054/9730
 
Language en