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Please use this identifier to cite or link to this item: http://dspace.library.iitb.ac.in/jspui/handle/10054/9730

Title: AVERAGE WORTH AND SIMULTANEOUS ESTIMATION OF THE SELECTED SUBSET
Authors: VELLAISAMY, P
Issue Date: 1992
Publisher: KLUWER ACADEMIC PUBL
Citation: ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 44(3), 551-562
Abstract: 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.
URI: http://dspace.library.iitb.ac.in/xmlui/handle/10054/9730
http://hdl.handle.net/10054/9730
ISSN: 0020-3157
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