Bayes' Equation, Reliability, and Multiple Hypothesis Testing
- 1 August 1972
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Reliability
- Vol. R-21 (3) , 136-147
- https://doi.org/10.1109/TR.1972.5215976
Abstract
The rudiments of applying Bayes' Equation to hypotheses concerning reliability are introduced in a simple manner. The application is a means of obtaining posterior probabilities, for the reliability hypotheses, which are consistent with the prior beliefs and the available test results. The posterior distributions, from which decision theory could formally arrive at optimal estimates, are greatly dependent on the prior distributions. Thus, the discussion centers about the desired properties of a prior and its effects on the posterior for various data situations. Formulations for both continuous-conjugate and discrete representations of the prior beliefs are discussed and contrasted. The use of discrete priors offers many advantages over the use of continuous-conjugate priors.Keywords
This publication has 2 references indexed in Scilit:
- A Consideration of the Bayesian Approach in Reliability EvaluationIEEE Transactions on Reliability, 1965
- Introduction to Probability and Statistics from a Bayesian ViewpointPublished by Cambridge University Press (CUP) ,1965