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

doi:10.3969/j.issn.1000-1093.2013.12.017

Abstract

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

CLC Number:

TB114.3

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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