On Rules Based on Sample Medians for Selection of the Largest Location Parameter.

Abstract

The problem of selection of a subset containing the largest of several given location parameters is considered, and selection rules based on sample medians are proposed and investigated. Selection of the largest normal mean is considered in detail and some new results for double exponential populations are also obtained. Numerical comparisons in the case of equally spaced normal means are made between the medians procedure and the means procedure. The asymptotic relative efficiency (ARE) of the medians procedure relative to the means procedure is also computed, assuming that the normal means are in a slippage configuration. The means procedure is found to be much better than the medians procedure in the sense of ARE. However, if the normal populations are highly contaminated, the proposed rule based on sample medians is superior to the means procedure.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1977
Accession Number
ADA047948

Entities

People

  • Ashok K. Singh
  • Shanti Gupta

Organizations

  • Purdue University

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Distribution Functions
  • Efficiency
  • Environmental Health
  • Equations
  • Homogeneity
  • Military Research
  • Normal Distribution
  • Numerical Integration
  • Observation
  • Probability
  • Probability Density Functions
  • Random Variables
  • Standards
  • Statistics
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Statistical inference.

Technology Areas

  • Space