On the Least Favorable Configuration of a Selection Procedure Based on Ranks.

Abstract

The problem of selection of the population with the largest parameter is considered using the subset selection as well as the indifference zone approach for distributions that belong to a location or a scale parameter family. The procedures are based on the sums of combined (Wilcoxon type) ranks and vector (Friedman type) ranks. The least favorable configurations are obtained in an asymptotic framework under certain order relations between the gaps of parameters. The asymptotic theory is based on exact moments of the rank sum statistics. Keywords: Rank order Statistics; Computations; Population(Mathematics); Value.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1987
Accession Number
ADA178454

Entities

People

  • Shanti Gupta
  • Takashi Matsui

Organizations

  • Purdue University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Analysis Of Variance
  • Computing-Related Activities
  • Covariance
  • Data Science
  • Distribution Functions
  • Families (Human)
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Military Research
  • Observation
  • Order Statistics
  • Rank Order Statistics
  • Statistical Inference
  • Statistics
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.