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随机截尾试验变量抽样接收方案的贝叶斯决策
引用本文:陈建伟. 随机截尾试验变量抽样接收方案的贝叶斯决策[J]. 运筹与管理, 2001, 10(1): 24-31
作者姓名:陈建伟
作者单位:香港中文大学,统计系,香港
摘    要:本运用Bayes决策理论研究指数分布和随机截尾试验的抽样接收方案的一般模型,我们证明了最优Bayes法则具有单调性,并对二个特殊的决策损失函数给出了最优Bayes法则和Bayes风险的具体表达式。

关 键 词:损失函数 最优Bayes法则 随机截尾试验 Bayes决策理论 抽样接收方案
文章编号:1007-3221(2001)01-0024-08
修稿时间:1999-11-07

Bayesian Decision Theory Approach to Sampling Acceptance Plan with Random Censoring
CHEN Jian wei. Bayesian Decision Theory Approach to Sampling Acceptance Plan with Random Censoring[J]. Operations Research and Management Science, 2001, 10(1): 24-31
Authors:CHEN Jian wei
Abstract:This article employs the Bayesian decision theory to investigate a general model of sampling acceptance plan for the exponential distribution with random censoring. We demonstrate that the optimal Bayes rule is of monotonic form under some assumptions. Moreover, optimal Bayes rules and explicit expressions of the Bayes risk for two special decision loss functions are given respectively.
Keywords:loss function  optimal Bayes rule  random censoring  the Bayesian decision theory  sampling acceptance plan
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