RELIABILITY ANALYSIS OF DATA FUSION BASED ON A MIXED BASIS DISTRIBUTION METHOD

ZHANG XiaoJie; TANG JiaYin

doi:10.16579/j.issn.1001.9669.2022.01.015

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RELIABILITY ANALYSIS OF DATA FUSION BASED ON A MIXED BASIS DISTRIBUTION METHOD

更新时间：2022-09-22

- RELIABILITY ANALYSIS OF DATA FUSION BASED ON A MIXED BASIS DISTRIBUTION METHOD
- Journal of Mechanical Strength Vol. 44, Issue 1, Pages: 111-118(2022)
- 作者机构：
  
  1. 西南交通大学数学学院统计系
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2022.01.015
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ZHANG XiaoJie, TANG JiaYin. RELIABILITY ANALYSIS OF DATA FUSION BASED ON A MIXED BASIS DISTRIBUTION METHOD. [J]. 44(1):111-118(2022)
DOI：

ZHANG XiaoJie, TANG JiaYin. RELIABILITY ANALYSIS OF DATA FUSION BASED ON A MIXED BASIS DISTRIBUTION METHOD. [J]. 44(1):111-118(2022) DOI： 10.16579/j.issn.1001.9669.2022.01.015.

摘要

针对同种产品的多类试验源寿命数据信息,利用构造的混合基分布,实现三源数据融合,同时估计出数据源的总体分布密度函数。基于EM算法得到混合基分布密度函数参数向量中各未知参数极大似然估计的迭代式。使用经过Bootstrap法扩权的样本,给出了各参数估计值,确定混合基分布的密度函数解析,进而完成产品可靠性分析。算例验证了该类模型的可行性和有效性。

Abstract

Aiming at the life data information of multiple types of testing sources for the same product, a mixed base distribution constructed to achieve three-source data fusion, and at the same time, the overall distribution density function of the life data source was estimated. And the iterative formula of the maximum likelihood estimation of each unknown parameter in the parameter vectors of the mixed basis distribution density function was obtained based on the EM algorithm. At the same time, the estimated value of each parameter was given by using the sample weighted by Bootstrap method, the density function analysis of the mixed basis distribution was determined, and the product reliability analysis was completed. The calculation example verified the feasibility and effectiveness of this type of model.

关键词

混合基极大似然估计EM算法数据融合Bootstrap(自助法)

Keywords

Mixed basisMaximum likelihood estimationEM algorithmData fusionBootstrap method

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