SELECTION PROCEDURES FOR RESTRICTED FAMILIES OF PROBABILITY DISTRIBUTIONS

Abstract

The paper is primarily concerned with selecting a subset of k populations 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). In particular a procedure is proposed and studied which is valid for any family of distributions with increasing failure rate on the average (IFRA). It is compared, asymptotically, with a distribution-free procedure proposed by Rizvi and Sobel.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1967
Accession Number
AD0664950

Entities

People

  • Richard E. Barlow
  • Shanti Gupta

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • California
  • Contracts
  • Data Science
  • Governments
  • Information Science
  • Military Research
  • Operations Research
  • Order Statistics
  • Probability
  • Probability Distributions
  • Random Variables
  • Statistical Samples
  • Statistics
  • Theorems
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Statistical inference.