Accession Number : AD0766549

Title :   Selection Procedures for the Means and Variances of Normal Populations When the Sample Sizes are Unequal,

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Gupta,Shanti S. ; Huang,Deng-Yuan

Report Date : AUG 1973

Pagination or Media Count : 25

Abstract : Let (Pi sub 1),...,(Pi sub k) be k independent normal populations with means (mu sub 1),...,(mu sub k) and variances (sigma sub 1, sup 2),...,(sigma sub k, sup 2), respectively. The authors interest is to select a non-empty subset of the k populations containing the best when the populations are ranked in terms of (i) the means (mu sub i), when (sigma sub i sup 2) = (sigma sup 2), known or unknown, and (ii) the variance (sigma sub i sup 2), when the (mu sub i) are known or unknown. Procedures and results are derived for the case when sample sizes are unequal. The authors also discuss gamma populations with scale parameter, and selection for normal means that are better than control. (Author)

Descriptors :   (*SAMPLING, POPULATION(MATHEMATICS)), SELECTION, ANALYSIS OF VARIANCE, DECISION THEORY, DISTRIBUTION FUNCTIONS, INEQUALITIES

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE