A Quantile Domain Perspective on the Relationships between Optimal Grouping, Spacing and Stratification Problems.

Abstract

The relationships between two distributions having the same solutions for problems of optimal spacing selection for the asymptotically best linear unbiased estimator of a location or scale parameter or for problems of optimal stratification for estimation of a population mean are investigated. Easily checked necessary and sufficient conditions under which two distributions have identical solutions to these problems are given in terms of their quantile and density-quantile functions. As an application of these results a quantile domain analog of a theorem due to Adatia and Chan on the equivalence of optimal grouping, spacing and stratification problems is obtained. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1982
Accession Number
ADA116944

Entities

People

  • R. L. Eubank

Organizations

  • Southern Methodist University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Data Science
  • Distribution Functions
  • Estimators
  • Governments
  • Information Science
  • Maximum Likelihood Estimation
  • Military Research
  • New York
  • Normal Distribution
  • Order Statistics
  • Statistical Samples
  • Statistics
  • Stratification
  • Two Dimensional
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Theoretical Analysis.

Technology Areas

  • Space