Accession Number : AD0664474

Title :   SELECTION PROCEDURES FOR RESTRICTED FAMILIES OF PROBABILITY DISTRIBUTIONS.

Descriptive Note : Technical rept.,

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Barlow,Richard E. ; Gupta,Shanti S.

Report Date : DEC 1967

Pagination or Media Count : 29

Abstract : Let pi sub 1, pi sub 2,...,pi sub k be k populations. The random variable X sub i associated with pi sub i has a continuous distribution F sub i, i = 1,2,...,k. We are primarily interested in selecting a subset such that the probability is at least P star that the selected subset includes the population with the largest (smallest) quantile of a given order alpha(0 < alpha < 1). We assume each F sub i has a unique alpha-quantile, Xi sub(alpha i). Let F sub (i) (x) = F sub (i) denote the cumulative distribution function of the population with the ith smallest alpha-quantile. The report considers families of distributions ordered in a certain sense with respect to a specified continuous distribution G and considers a selection procedure which is different from the non-parametric procedure of Rizvi and Sobel (1967).

Descriptors :   (*STATISTICAL ANALYSIS, SELECTION), RANDOM VARIABLES, POPULATION(MATHEMATICS), DISTRIBUTION FUNCTIONS, STOCHASTIC PROCESSES, EXPONENTIAL FUNCTIONS, MONTE CARLO METHOD, SAMPLING, PROBABILITY, TRANSCENDENTAL FUNCTIONS, FUNCTIONS(MATHEMATICS), SET THEORY, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE