重庆理工大学学报(自然科学) ›› 2023, Vol. 37 ›› Issue (2): 272-277.doi: 10.3969/j.issn.1674-8425(z).2023.02.030

• 数学·统计学 • 上一篇    下一篇

多源异构数据贝叶斯变权融合可靠性评估模型

唐 莉,程世娟,张晓洁   

  1. 1.西南交通大学 数学学院,成都 611756; 2.西南交通大学希望学院 基础部,成都 61040
  • 出版日期:2023-03-21 发布日期:2023-03-21
  • 作者简介:唐莉,女,硕士研究生,主要从事应用统计及可靠性理论与工程研究,Email:tangli_edu@163.com;通讯作者 程 世娟,女,博士,副教授,主要从事可靠性理论与工程及计算智能研究,Email:csjj3202@163.com

Reliability evaluation model of multi-source heterogeneous data based on Bayesian variable weight fusion

  • Online:2023-03-21 Published:2023-03-21

摘要: 采用贝叶斯方法构建多源异构变权融合的可靠性评估模型,解决产品在可靠性评 估中遇到的小样本数据问题。首先,分析各信息源与现场数据似然函数的尾部梯度特征,通过 两者绝对值误差大小,确定各信息源权重;然后,考虑现场试验数据对先验及多源融合的权重影 响,基于贝叶斯变权融合方法,得到产品的可靠性分析;最后,通过实例验证了该变权融合模型 的合理性和有效性,评估结论优于贝叶斯等权融合的可靠性评估模型。

关键词: :多元异构数据, 变权融合, 贝叶斯估计, 可靠性评估

Abstract: In order to solve the problem of a small number of sample data of products in reliability evaluation, this paper uses a Bayesian method to establish a reliability evaluation model for multi-source heterogeneous variable weight fusion. Firstly, this paper analyzes the tail gradient characteristics of the likelihood function of each information source and field data, and determines the weight of each information source through the absolute value error of the two. Then, considering the influence of the field test data on the weight of prior and multi-source fusion, this paper conducts reliability analysis of the product based on the Bayesian variable weight fusion method. Finally, the example shows that the variable weight fusion model is reasonable and effective, and the evaluation effect is better than the reliability evaluation model of Bayesian equal weight fusion.

中图分类号: 

  • O213.2