Some Bayes Estimators of Reliability for the Inverse Gaussian Lifetime Model.

Abstract

Bayes estimation of the reliability function for the inverse Gaussian distribution is discussed. For the case that the mean lifetime is known, Bayes estimators are obtained with Jeffreys' noninformative prior and with the natural conjugate prior for the scale parameter. In the case that both parameters are unknown, an estimator of reliability is suggested which is based on the Bayes estimator obtained for the case that the mean lifetime is known. This estimator is not Bayes but compares favorably with the maximum likelihood and minimum variance unbiased estimators as indicated by computer simulations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1980
Accession Number
ADA088078

Entities

People

  • William J. Padgett

Organizations

  • University of South Carolina

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Computational Science
  • Computer Science
  • Computer Simulations
  • Data Science
  • Estimators
  • Gaussian Distributions
  • Information Science
  • Mathematics
  • Reliability
  • Scientific Research
  • Simulations
  • South Carolina
  • Statistical Algorithms
  • Statistics
  • Stochastic Processes
  • United States

Fields of Study

  • Mathematics

Readers

  • Statistical inference.