A Bayesian Approach to Quantile and Response Probability Estimation with Applications in Reliability.
ARIZONA UNIV TUCSON
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This paper studies a Bayesian approach for the estimation of potency curve which is assumed to be nondecreasing and cocave. This is done by assigning a Dirichlet prior to transformations of some unknown parameters. The choice is made of the prior and investigate several aspects of the problem, such as the properties of the posterior distribution as well as a numerical implementation of the suggested procedure. A procedure for estimating the quantiles is also given. Applications in reliability theory are described. The procedure is illustrated numerically via an example from a government laboratory.
- Statistics and Probability
- Manufacturing and Industrial Engineering and Control of Production Systems