Weibull Reliability Analysis in Small Samples Based on LSSVM

China Mechanical Engineering

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Weibull Reliability Analysis in Small Samples Based on LSSVM

Zhang Xinfeng1;Zhao Yan2

1.Key Laboratory of Automotive Transportation Safety Enhancement Technology of the Ministry of Communication,Chang'an University,Xi'an,710064
2.Xidian University,Xi'an,710071

Online:2012-08-25 Published:2017-05-27
Supported by:

Fundamental Research Funds for the Central Universities( No. CHD2010JC066,72105473 )

基于最小二乘支持向量机的小样本威布尔可靠性分析

张新锋1,赵彦2

1.长安大学汽车运输安全保障技术交通行业重点实验室,西安,710064
2.西安电子科技大学,西安,710071

基金资助:
中央高校基本科研业务费专项资金资助项目（CHD2010JC066,72105473);长安大学基础研究支持计划专项基金资助项目；汽车运输安全保障技术交通行业重点实验室开放基金资助项目
Fundamental Research Funds for the Central Universities( No. CHD2010JC066,72105473 )

Abstract

Abstract: Based on LSSVM,a method of improved Weibull reliability analysis was proposed.The parameters
of Weibull distribution and reliability life were analyzed by the Weibull probability paper drawn by MATLAB.The analysis result comparisons were made by LSSVM,SVM and least square method.The numerical results show that the precision of the method based on LSSVM is higher than that of the least square method,and higher than that of SVM.The method based on LSSVM can improve the analysis precision and efficiency in small samples.The reliability analysis based on LSSVM is another choice of Weibull reliability analysis.

Key words: least square support vector machine(LSSVM), support vector machine(SVM), Weibull analysis, reliability evaluation, small samples

摘要： 在图估法的基础上,提出了基于最小二乘支持向量机的威布尔可靠性分析方法,在MATLAB平台上绘制了威布尔概率纸,通过程序化的方式分析估计威布尔概率参数;进行了可靠性寿命分析,并对比分析了基于最小二乘支持向量机、支持向量机和最小二乘法威布尔可靠性分析的效果。实例分析结果显示,在威布尔可靠性分析中,最小二乘支持向量机的拟合精度不仅优于传统的最小二乘法的拟合精度,而且优于支持向量机的拟合精度,表明该方法可以提高可靠性分析效率和精度，可作为威布尔可靠性分析的一种新方法，特别适用于小样本的情况。

关键词: 最小二乘支持向量机, 支持向量机, 威布尔分析, 可靠性评估, 小样本

CLC Number:

Zhang Xinfeng1;Zhao Yan2. Weibull Reliability Analysis in Small Samples Based on LSSVM[J]. China Mechanical Engineering.

张新锋1,赵彦2. 基于最小二乘支持向量机的小样本威布尔可靠性分析[J]. 中国机械工程.

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Weibull Reliability Analysis in Small Samples Based on LSSVM

基于最小二乘支持向量机的小样本威布尔可靠性分析

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