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Subset selection based on likelihood ratios : the normal means case

Let π1, ..., πk be k(&gt;_2) populations such that πi, i = 1, 2, ..., k, is characterized by the normal distribution with unknown mean and ui variance aio2 , where ai is known and o2 may be unknown. Suppose that on the basis of independent samples of size ni from π (i=1,2,...,k), we are interested in selecting a random-size subset of the given populations which hopefully contains the population with the largest mean.Based on likelihood ratios, several new procedures for this problem are derived in this report. Some of these procedures are compared with the classical procedure of Gupta (1956,1965) and are shown to be better in certain respects. / <p>Ny rev. utg.</p><p>This is a slightly revised version of Statistical Research Report No. 1978-6.</p> / digitalisering@umu

Identiferoai:union.ndltd.org:UPSALLA1/oai:DiVA.org:umu-74925
Date January 1979
CreatorsChotai, Jayanti
PublisherUmeå universitet, Matematisk statistik, Umeå : Umeå universitet
Source SetsDiVA Archive at Upsalla University
LanguageEnglish
Detected LanguageEnglish
TypeReport, info:eu-repo/semantics/report, text
Formatapplication/pdf
Rightsinfo:eu-repo/semantics/openAccess
RelationStatistical research report, 0348-0399 ; 6

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