Bayesian Analysis of the Weibull Failure Model Under Stochastic Variation of the Shape and Scale Parameters.

摘要

In the last five or six years there has been a considerable amount of rising interest in the Bayesian approach to reliability. To a practicing reliability scientist, such an approach would seem quite appealing because it provides a way for the formulation of a distributional form of the unknown parameters inherent within the failure model, based on prior convictions or information available to him. Evans and Drake have given an excellent account for the use of Bayesian theory in reliability. Furthermore, from a practical point of view, Feduccia states that employing the reliability prediction and its associated measure of uncertainty, the coefficient of variation as the 'prior' in a Bayesian setting makes sense. The aims of the present study is to investigate the behavior of a two parameter failure model subject to both behaving as random variables.