A Bayesian Reliability Evaluation Method Based on Dempster-Shafer Evidence Theory
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摘要: 如何合理利用多源先验信息, 是小子样Bayes理论方法应用中亟待解决的一个问题。目前, 多源信息融合还没有统一的准则, 融合理论方法的不同会使得融合结果有所差异。为了解决上述问题, 基于证据推理理论, 提出了一种多源信息先验分布融合方法, 将通过各种融合准则获得的先验分布进行再融合, 得到了一种合理的综合先验分布, 最后建立了基于证据理论的Bayes可靠性评定模型。仿真结果表明, 该融合方法是合理可行的, 相比使用单一信息融合方法更科学且合理。Abstract: Bayesian method is an important and suitable approach for system reliability evaluation in small sample cir-cumstance. In order to reduce the testing data, all kinds of a priori information must be used, so the information fusion of multiple sources becomes a key problem in Bayesian analysis. A new method based on the Dempster-Shafer evidence theory is proposed to realize the information fusion of multiple sources, which can integrate more a priori distributions obtained through different fusion criteria. Simulation shows that the proposed method is effective.
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