
Accession Number : AD0621151
Title : ON THE PROPERTIES OF SUBSET SELECTION PROCEDURES.
Descriptive Note : Mimeograph series,
Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS
Personal Author(s) : Deely,John J. ; Gupta,Shanti S.
Report Date : AUG 1965
Pagination or Media Count : 27
Abstract : Some desirable properties are studied of a selection procedure which selects the normal population with mean m and variance unity (i=1,2,...,k) if the observed sample mean x sub i from p contained in (x(Max) d, x(max)). This rule earlier studied by Gupta (1956, 1965) is compared with the 'approximate' optimal rule D of Seal (1955). It is shown that the rule R is minimax. It is also shown that under the slippage configuration of means given by (m,m,...,m+ delta) the expected size of the selected subset using R is smaller than that corresponding to D and that the probability of a correct selection using R is strictly greater than that of D, provided delta satisfies some inequalities. Under a more general linear loss function, the Bayes rule for selecting a subset is also derived. (Author)
Descriptors : (*SET THEORY, POPULATION(MATHEMATICS)), (*DECISION THEORY, SET THEORY), ANALYSIS OF VARIANCE, GAME THEORY, SAMPLING
Distribution Statement : APPROVED FOR PUBLIC RELEASE