Bayes Analysis Of Accelerated Life Test Based On The Laplace Algorithm

The Step-Access Accelerated Life Testing(SSALT) and Progressive Stress Accelerated Life Testing(PSALT) are two kinds of effective methods which are widely used in life testing because of the development of their theories. Many scholars have contributed to study their theories andmethods.In this paper,we present Bayesian estimation of the parameters in SSALT under the Weibull distribution. In PS ALT, we obtain the Bayesian estimation of each parameter and marginal posterior density when the prior density of shape parameter is continuous using Laplace method under CE model.In SSALT, we obtain the Bayesian estimation of each parameter using the same method. Examples show that the results obtained using Laplace method are very close to that obtained using Gibbs sampling method.