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Weibull分布下复杂系统可靠度的Bayes估计 被引量:2

Bayesian Estimation of Reliability for a Complex System with Weibull Distribution
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摘要 针对一般复杂系统的可靠性问题,依据最小路径描述的一般复杂系统,采用Bayes方法,研究了当子系统寿命服从Weibull分布时,一般复杂系统的可靠度估计问题.在定数截尾样本下得到了,当Weibull分布形状参数已知时,由寿命分布相同和不同的子系统组成的一般复杂系统的可靠度的Bayes估计;进一步得到了当Weibull分布形状参数未知,且子系统寿命服从相同的Weibull分布时,一般复杂系统的可靠度的Bayes估计问题,丰富了一般复杂系统可靠度的Bayes估计理论. In order to solve the problem of the reliability of general complex system, this paper uses Bayes method to study reliability of complex systems described by minimal path when the life of each component obeys Weibull distribution. Under Type- Ⅱ censoring, we obtain the bayesian estimation of reliability for the complex sys- tem with the same and the different components when the shape parameter of Weibull distribution is known, Fur- thermore, this paper gives the bayesian estimation of reliability for the same Weibull distribution with unknown shape parameter. The result enriches the bayesian estimation of reliability for general complex system.
出处 《哈尔滨理工大学学报》 CAS 北大核心 2015年第5期111-115,共5页 Journal of Harbin University of Science and Technology
基金 黑龙江省教育厅科学技术研究项目(11551094 12541254)
关键词 WEIBULL分布 可靠度 最小路径 BAYES估计 定数截尾 Weibull distribution reliability minimal path bayesian estimation Type- Ⅱ censoring
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