Best Linear Invariant Estimation of the Location and Scale Parameters of the Weibull Distribution.

Abstract

A method for finding conditional linear estimators having a minimal mean square error among all linear estimators is presented. The method is used to find and table estimation coefficients for the three parameter Weibull distribution. Tables are presented for sample sizes 2 to 15, and for eleven values of the shape parameter: 0.5(0.25)2.0(0.5)4.0. Estimation coefficients are presented for both uncensored samples and samples single censored from above. A method for finding simultaneous estimators is also presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1970
Accession Number
AD0776765

Entities

People

  • John R. Niles

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Coefficients
  • Estimators

Fields of Study

  • Mathematics

Readers

  • Statistical inference.