An Estimation Problem Relating to Subset Selection for Normal Populations.

Abstract

Let p sub 1, p sub 2,..., pi sub k be k independent normal populations with unknown means theta sub 1, theta sub 2,..., theta sub k, respectively, and a common known variance tau sub 2. The population associated with the largest theta sub i is called the best population. In the subset selection approach, the authors want to select a nonempty subset of the k populations so that it includes the best population with a minimum guaranteed probability. The basic idea of the subset selection approach is that the number of populations to be selected should depend upon the evidence supplied by the data.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1983
Accession Number
ADA133387

Entities

People

  • S. Jeyaratnam
  • S. Panchapakesan

Organizations

  • Purdue University

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DTIC Thesaurus Topics

  • Algorithms
  • Computing-Related Activities
  • Estimators
  • Illinois
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • Probability
  • Random Variables
  • Statistical Algorithms
  • Statistical Analysis
  • Statistics
  • United States
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Fields of Study

  • Mathematics

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  • Regression Analysis.