Applications of a Unified Theory of Monotonicity in Selection Problems.

Abstract

In this paper, the general monotonicity results concerning selection problems derived by Berger and Proschan are reviewed. They are then applied to several different formulations of the selection problem. These include comparison with a control and restricted subset selection problems. Several classes of selection rules previously proposed in the literature are shown to possess the monotonicity properties. In addition, a new class of rules for the restricted subset selection formulation is proposed and shown to possess the monotonicity properties.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1983
Accession Number
ADA128441

Entities

People

  • Frank Proschan
  • Roger L. Berger

Organizations

  • Florida State University

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Air Force
  • Classification
  • Decision Theory
  • Inequalities
  • Information Science
  • Literature
  • New York
  • Permutations
  • Probability
  • Random Variables
  • Scientific Research
  • Security
  • Statistical Decision Theory
  • Statistics
  • Theorems
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Statistical inference.