SELECTION PROCEDURES FOR RESTRICTED FAMILIES OF PROBABILITY DISTRIBUTIONS.
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).
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1967
- Accession Number
- AD0664474
Entities
People
- Richard E. Barlow
- Shanti Gupta
Organizations
- Purdue University