Bayesian Analysis of the Weibull Process with Unknown Scale Parameter and Its Application to Acceptance Sampling
- 1 June 1968
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Reliability
- Vol. R-17 (2), 84-90
- https://doi.org/10.1109/tr.1968.5217520
Abstract
The Weibull process with unknown scale parameter is taken as a model for Bayesian decision making. The family of natural conjugate prior distributions for the scale parameter is exhibited and used in prior and posterior analysis. Preposterior analysis and several sampling schemes are then discussed. Preposterior analysis is given for an acceptance sampling problem with utility linear in the unknown mean of the Weibull process, in which the sampling scheme yields the first r failures in a life test of n items. An example is included.Keywords
This publication has 5 references indexed in Scilit:
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- Life TestingJournal of the American Statistical Association, 1953