一般寿命分布和定时截尾的Bayes变量抽样方案(英文)

Bayesian Variable Sampling Plans for A General Life Distribution with Type I Censoring

林（1994）研究了指数分布和定时截尾的变量抽样方案．本文将讨论一般寿命分布和定时截尾的一次抽样方案．在多项式损失函数的假设下，我们讨论了Weibull分布、双参数指数分布和-分布三种情形，并着重讨论Weibull分布的情形．本文还提出了一个可用于近似地确定最优抽样方案的有报算法，并且进行了灵敏度分析，还同林较早的模型（1990，1994）做了比较．

Lam (1994) studied variable sampling plans for the exponential distribution with Type I censoring. In this article, we study a single sampling plan for a general lifetime distribution with Type I censoring. Under the assumption that the loss function is a polynomial, an explicit expression of the Bayes risk is obtained. Three distributions including the Weibull distribution, the two-parameter exponential distribution and the gamma distribution are considered. The Weibull distribution case is studied in detail.Furthermore, a finite algorithm for finding an approximately optimal sampling plan is suggested. A sensitivity analysis and a comparison among the present model and Lam's earlier models (1990, 1994) are also conducted.