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Bayesian Estimation of Life Parameters in the Weibull Distribution.
- Source :
- Operations Research; May/Jun73, Vol. 21 Issue 3, p755-763, 9p
- Publication Year :
- 1973
-
Abstract
- This paper develops a Bayesian analysis of the scale and shape parameters in the Weibull distribution and the corresponding reliability function with respect to the usual life-testing procedures. For the scale parameter θ, Bayesian estimates of θ and reliability are obtained for the uniform, exponential, and inverted gamma prior probability densities. BHATTACHARYA'S results [J. Am. Stat. Assn. 62, 48–62(1967)] for the one-parameter exponential life-testing distribution are reduced to a special case of these rewards. The paper develops a fully Bayesian analysis of both the scale .and shape parameters θ and ξ by independent prior distributions; since in the latter case, analytical tractability is not possible, Bayesian estimates are obtained through a conjunction of a Monte Carlo simulation and numerical-integration techniques. In both cases, the paper carries out a computer simulation and makes a comparison between the Bayesian and the corresponding minimum-variance unbiased, or maximum likelihood, estimates. As expected, the Bayesian estimates are superior. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0030364X
- Volume :
- 21
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Operations Research
- Publication Type :
- Academic Journal
- Accession number :
- 8604617
- Full Text :
- https://doi.org/10.1287/opre.21.3.755