三参数Weibull分布竞争失效场合加速寿命试验统计分析

doi:10.3969/j.issn.1000-1093.2013.12.017

兵工学报 ›› 2013, Vol. 34 ›› Issue (12): 1603-1610.doi: 10.3969/j.issn.1000-1093.2013.12.017

三参数Weibull分布竞争失效场合加速寿命试验统计分析

张详坡，尚建忠，陈循，张春华，汪亚顺

（国防科学技术大学装备综合保障技术重点实验室，湖南长沙 410073）

收稿日期:2013-05-07 修回日期:2013-05-07 上线日期:2014-03-04
作者简介:张详坡（1985—），男，博士研究生
基金资助:
国家自然科学基金项目（51105367、51205402）；国家高档数控机床与基础制造装备技术重大专项项目（2009ZX04014-014）

Statistical Inference of Accelerated Life Test with Competing Failures Based on Three-parameter Weibull Distribution

ZHANG Xiang-po, SHANG Jian-zhong, CHEN Xun, ZHANG Chun-hua, WANG Ya-shun

(Laboratory of Science and Technology on Integrated Logistics Support, National University of Defense Technology,Changsha 410073, Hunan，China)

Received:2013-05-07 Revised:2013-05-07 Online:2014-03-04

摘要/Abstract

摘要： 三参数Weibull分布（TPWD）对于描述具有渐变性失效特征的失效模式，如机械产品磨损、疲劳、腐蚀、老化等的寿命分布具有更加明确的物理意义且具有很强的数据拟合能力，在产品可靠性分析中得到广泛应用。根据TPWD特点和竞争失效加速寿命试验（ALT）统计分析的工程实际，研究了TPWD竞争失效恒定应力ALT统计分析方法，建立了参数估计的极大似然估计(MLE)模型。实例结果表明，文中建立的TPWD的ALT统计分析模型是正确的，符合产品寿命实际，具有很好的估计效果。

关键词: 数理统计学, 加速寿命试验, 竞争失效, 三参数Weibull分布, 极大似然估计

Abstract: Three-parameter Weibull distribution (TPWD) has a higher potential for data fitting and a more reasonable physical meaning for life evaluation to describe the life distribution of products that have the characteristics of progressive failure such as wear, fatigue, corrosion and aging failure. Therefore, it is widely used in reliability analysis of products. Based on the properties of TPWD and practice of accelerated life test (ALT), the statistical inference method of ALT with competing failures when all the failure modes are three-parameter Weibull distribution is studied. The maximum likelihood estimation（MLE）model for parameter estimation is also established. Result of application example proves that the statistical inference method and MLE model are correct. The MLE model fits the practice of product life distribution and can provide very good estimation results.

Key words: mathematical statistics, accelerated life test, competing failure, three-parameter Weibull distribution, maximum likelihood estimation

中图分类号:

TB114.3

张详坡，尚建忠，陈循，张春华，汪亚顺. 三参数Weibull分布竞争失效场合加速寿命试验统计分析[J]. 兵工学报, 2013, 34(12): 1603-1610.

ZHANG Xiang-po, SHANG Jian-zhong, CHEN Xun, ZHANG Chun-hua, WANG Ya-shun. Statistical Inference of Accelerated Life Test with Competing Failures Based on Three-parameter Weibull Distribution[J]. Acta Armamentarii, 2013, 34(12): 1603-1610.

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三参数Weibull分布竞争失效场合加速寿命试验统计分析

Statistical Inference of Accelerated Life Test with Competing Failures Based on Three-parameter Weibull Distribution

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