Bayesian Confidence Bounds for the Weibull Failure Model
- 1 April 1975
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Reliability
- Vol. R-24 (1) , 21-26
- https://doi.org/10.1109/tr.1975.5215319
Abstract
The following bounds are derived for the Weibull failure model when the parameter is being characterized by the inverted gamma and uniform probability density functions (pdf); they are lower and upper Bayes-confidence bounds for the scale parameter and lower bounds for the reliability function. To illustrate the results a Monte Carlo simulation was performed to obtain 90% and 95% Bayes-confidence bounds for the scale parameter and lower limits for the corresponding reliability function of the Weibull failure distribution. The consequences that one encounters when the following ``wrong'' priors have been chosen to characterize the random behavior of the scale parameter are investigated. The results are compared when the prior pdf of θ is uniform but inverted gamma was used, and vice versa.Keywords
This publication has 2 references indexed in Scilit:
- Bayesian Concepts for the Estimation of Reliability in the Weibull Life-Testing ModelInternational Statistical Review, 1972
- Bayesian Approach to Life Testing and Reliability EstimationJournal of the American Statistical Association, 1967