在定时混合截尾情形下,研究了指数威布尔分布的统计分析问题。利用最大似然估计方法给出了指数-威布尔分布参数的最大似然估计。运用Lindley’s逼近方法计算出了分布参数的Bayes估计。最后,运用Monte-Carlo方法对最大似然估计和Bayes估计结果作了模拟比较,结果表明Bayes估计优于最大似然估计。
The article presents the statistical inference on exponentiated weibull distribution when the data are type-I hybrid censored. The maximum likelihood estimators are given by the maximum likelihood method. Bayes estimates using Lindley's approximation method are developed for estimating the unknown parameters. Finally,Monte-Carlo simulations are performed to contrast the maximum likelihood estimators and the Bayes estimators for illustrative purposes. The results demonstrate that the Bayes estimators are better than the maximum likelihood estimators.