On Selection Procedures for Normal Populations with Common known Coefficient of Variation with an Application to Multivariate Normal Populations.

Abstract

There are instances in the biological and physical sciences in which a linear relationship between the sample means and the sample standard deviations seems to exist. It is not unreasonable in such cases to assume that the population standard deviation sigma is a multiple of the population mean Theta, i.e. sigma = (sq.rt.b) Theta, b > 0, and Theta also is assumed to be positive. The purpose of this paper is to investigate some problems of selection when the k underlying populations are normal with unknown positive means Theta sub 1,..., Theta sub k and a common known coefficient of variation sq.rt.b. Three selection rules are investigated, and some comparisons are made among these rules. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1978
Accession Number
ADA060980

Entities

People

  • Aastha Singh
  • Shanti Gupta

Organizations

  • Purdue University

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Covariance
  • Data Science
  • Distribution Functions
  • Efficiency
  • Estimators
  • Information Science
  • Military Research
  • Normal Distribution
  • Physical Sciences
  • Probability
  • Random Variables
  • Standards
  • Statistics
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Computational Modeling and Simulation
  • Mathematical Modeling and Probability Theory.