Yearly Best Linear Conditional Unbiased Estimation of the Location and Scale Parameters of the Gamma Probability Distribution by the Use of Order Statistics.

Abstract

A table of coefficients for nearly best linear conditional unbiased estimation of the location and scale parameters of the gamma probability distribution is given. Shape parameter values of 0.5(0.5)4.0 are considered. The theory of order statistics and a general estimation procedure are used to obtain coefficients for complete ordered samples of sizes one to forty for shape parameter values of 0.5(0.5)4.0. The estimation coefficients are also given for samples censored from above. These coefficients can be used for simultaneous unbiased estimation of the location and scale parameters. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1970
Accession Number
AD0776770

Entities

People

  • Robert L. Davis

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Data Science
  • Information Science
  • Mathematics
  • Order Statistics
  • Probability
  • Probability Distributions
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.