A NEW METHOD OF ESTIMATING THE WEIBULL SHAPE PARAMETER

Abstract

The method of random hazard functions is applied to the case of the Weibull distribution and the following results are obtained: It is well known that, in the case of a Weibull distribution with two parameters alpha and beta, there is no way of estimating and testing for the shape parameter beta without knowledge of the scale parameter alpha using the usual methods based on maximum likelihood. The method of random hazard functions is now used to obtain a consistent and asymptotically normal class of estimates for beta independent of any specification whatsoever on alpha. This result enables one to test for the randomness of the underlying failure phenomena under the Weibull set up. An illustrative example is given.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1968
Accession Number
AD0674063

Entities

People

  • V. K. Murthy

Organizations

  • System Development Corporation

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Applied Mathematics
  • Classification
  • Corporations
  • Department Of Defense
  • Distribution Functions
  • Governments
  • Law
  • Normal Distribution
  • Probability
  • Random Variables
  • Specifications
  • Statistical Estimation
  • Statistical Inference
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Statistical inference.