A Bayesian generalized Eyring‐Weibull accelerated life testing model
Neill Smit, Lizanne Raubenheimer, Thomas A. Mazzuchi, Refik Soyer
Abstract
Abstract In this paper, a novel approach to a Bayesian accelerated life testing model is presented. The Weibull distribution is used as the life distribution and the generalized Eyring model as the time transformation function. This is a model that allows for the use of more than one stressor, whereas other commonly used acceleration models, such as the Arrhenius and power law models, incorporate one stressor. The use of the generalized Eyring‐Weibull model developed in this paper is demonstrated in a case study, where Markov chain Monte Carlo methods are utilized to generate samples for posterior inference.
Topics & Concepts
Weibull distributionAccelerated life testingMarkov chain Monte CarloBayesian probabilityBayesian inferenceStatistical physicsApplied mathematicsMathematicsComputer scienceStatisticsPhysicsStatistical Distribution Estimation and ApplicationsInsurance, Mortality, Demography, Risk ManagementStatistical Methods and Bayesian Inference