逐步增加Ⅱ型截尾下Weibull分布的Bayes估计

Bayesian Estimation for the Weibull Model Based on Progressively Censored Data

基于逐步增加的Ⅱ型截尾,讨论了Weibull分布的Bayes估计。在平方损失和LINEX损失下,利用LindelyBayes近似算法得到了形状参数,尺度参数,失效率函数以及可靠度函数的极大似然估计和Bayes估计。最后运用Monte Carlo方法对各估计结果的RMSE,进行了模拟比较。表明了LINEX损失下的结果更有效。

In this article, the estimation for parameters and reliability index of the Weibull distribution are obtained by utilizing on progressive Type Ⅱcensored samples. Approximate form due to Lidely is used for obtaining the Bayesian estimations under the quadratic and LINEX loss functions. Finally, the statistical performances of the Bayesian estimations are compared with the maximum likelihood ones through the RMSE based on Monte-Carlo simulation study.