Optimal Bayesian Sampling Plans Based on Hybrid Type-Ⅱ Censored Samples  

作　　者：CHENG Conghua CHENG Lijuan 程从华;程丽娟(School of Mathematics and Statistics,Zhaoqing University;School of Mathematics and Statistics,Lingnan Normal University)

机构地区：[1]School of Mathematics and Statistics, Zhaoqing University, Zhaoqing 526061, China [2]School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang 524048, China

出　　处：《Journal of Donghua University(English Edition)》2018年第1期58-64,共7页东华大学学报（英文版）

基　　金：Natural Science Foundation of Guangdong Province of China(No.2016A030307019);the Higher Education Colleges and Universities Innovation Strong School Project of Guangdong Province,China(No.2016KTSCX153)

摘　　要：The Bayesian sampling plans for exponential distributions are studied based on type-Ⅱ hybrid censored samples. The optimal Bayesian sampling plan is derived under a general loss function which includes the sampling cost, time-consuming cost, salvage value,and decision loss. It is employed to determine the Bayes risk and the corresponding optimal sampling plan. An explicit expression of the Bayes risk is derived. Furthermore,for the conjugate prior distribution,the closed-form formula of the Bayes decision rule can be obtained under either the linear or quadratic decision loss.The Bayesian sampling plans for exponential distributions are studied based on type-Ⅱ hybrid censored samples. The optimal Bayesian sampling plan is derived under a general loss function which includes the sampling cost, time-consuming cost, salvage value,and decision loss. It is employed to determine the Bayes risk and the corresponding optimal sampling plan. An explicit expression of the Bayes risk is derived. Furthermore,for the conjugate prior distribution,the closed-form formula of the Bayes decision rule can be obtained under either the linear or quadratic decision loss.

关 键 词：Bayesian sampling plan Bayes risk decision function loss function hybrid censored sample 

分 类 号：O212.8[理学—概率论与数理统计]