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二项分布下的一种贝叶斯可靠性验收试验方案
引用本文:田艳梅,张志华,郭尚峰. 二项分布下的一种贝叶斯可靠性验收试验方案[J]. 运筹与管理, 2004, 13(4): 65-68
作者姓名:田艳梅  张志华  郭尚峰
作者单位:海军工程大学,研究生院,湖北,武汉,430033
摘    要:为了合理利用先验信息制定可靠性验收试验方案,以降低验收试验的费用,在进行可靠性定型试验的前提下,提出了一种先验信息加工方法,并根据生产与使用双方实际所关心的风险意义,制定了产品可靠性验收试验的一种贝叶斯方案。算例结果证实,该方案在保证了生产方与使用方利益的前提下,减少了试验量,降低了验收试验费用。说明所提出的先验信息利用方式是有效的。

关 键 词:概率论与数理统计 先验信息加工 多层贝叶斯方法 可靠性验收试验方案 二项分布 可靠性定型试验
文章编号:1007-3221(2004)04-0065-04
修稿时间:2003-10-11

A Bayesian Scheme of Reliability Acceptance Test in Binomial Case
TIAN Yan-mei,ZHANG Zhi-hua,GUO Shang-feng. A Bayesian Scheme of Reliability Acceptance Test in Binomial Case[J]. Operations Research and Management Science, 2004, 13(4): 65-68
Authors:TIAN Yan-mei  ZHANG Zhi-hua  GUO Shang-feng
Abstract:For the more efficient use of prior information to decrease the cost of acceptance test, based on the reliability qualification test, a method about how to compose prior information provided in qualification test is put forward and a scheme of reliability acceptance test in binomial case is formulated in view of the meaning of sampling risk actually concerned by users and producers in acceptance test. The outcome of the example given in this article indicates that the quantity of the test is shortened and the cost is cut down compared with the traditional method according to the plan of reliability acceptance test. So it may be considered that the method of processing prior information proposed in the article is comparatively efficient.
Keywords:probability and mathematical statistics  method of prior information composing  method of hierarchical prior  scheme of reliability acceptance test  binomial distribution  reliability qualification test
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