
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 alphaquantile, Xi sub(alpha i). Let F sub (i) (x) = F sub (i) denote the cumulative distribution function of the population with the ith smallest alphaquantile. 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 nonparametric 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