Accession Number : AD0623217

Title :   ON SOME SELECTION AND RANKING PROCEDURES WITH APPLICATIONS TO MULTIVARIATE POPULATIONS.

Descriptive Note : Technical rept.,

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Gupta,Shanti S. ; Studden,William J.

Report Date : OCT 1965

Pagination or Media Count : 21

Abstract : A problem of subset selection for parameters which are not necessarily scale or location parameters is considered. A general theorem dealing with the infimum of the probability of a correct selection for parameters occurring in densities which are Poisson mixtures of arbitrary densities on the interval (0, infinity) is proved. This theorem is applied to obtain the minimum value of the probability of a correct selection in several cases where multivariate normal populations are ranked according to a given scalar quantity.

Descriptors :   (*DECISION THEORY, POPULATION(MATHEMATICS)), (*STATISTICAL ANALYSIS, POPULATION(MATHEMATICS)), SELECTION, PROBABILITY, S MATRIX, THEORY, VECTOR ANALYSIS, SET THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE