New Practical Bayes Estimators for the 2-Parameter Weibull Distribution
- 1 June 1982
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Reliability
- Vol. R-31 (2) , 194-197
- https://doi.org/10.1109/tr.1982.5221297
Abstract
New Bayes estimators for the 2-parameter Weibull model are proposed when both parameters are unknown. In many life testing situations there is prior information which can be reasonably quantified in terms of: 1) range of the shape parameter, and 2) anticipated value of a quantile (reliable life) of the sampling distribution. This paper directly incorporates such information into the estimation process, using a new (not completely specified) prior distribution. Since analytic tractability is not possible, the estimates are obtained with easy numerical integration. A Monte Carlo simulation (carried out each time on 1000 samples and also using very poor priors) has shown that these estimators are quite s-unbiased and s-efficient for a large range of parameter values of poor priors.Keywords
This publication has 1 reference indexed in Scilit:
- Bayesian Analysis of the Weibull Process With Unknown Scale and Shape ParametersIEEE Transactions on Reliability, 1969