Abstract

This paper describes the unknown parameter the Weibull distribution based Approximating Bayesian model for the Type-II censored data. The scale parameter of the Weibull distribution is measured with a natural conjugate gamma prior for known shape parameter. Furthermore, the scale parameter of the gamma prior is assumed to be two different known hyperparameters. Under these assumptions, the Weibull parameter are estimated on the precautionary loss function(PLF), which is asymmetric and can be easily extended to other loss functions in failure situation. The result from Approximation by Bayesian method is used to compare with Bayes and maximum likelihood estimate (MLE) methods. The simulation shows the results from Bayes is the best in comparison with estimators obtained by usingApproximate Bayesian method, and then MLE in terms of root mean square error (RMSE).

Description