Quantile Regression Based Accelerated Life Test Analysis for Problem with Competing Risks of Failure

被引:0
|
作者
Zhou Y. [1 ]
Lü Z. [1 ]
Cheng K. [1 ]
Shi Y. [1 ]
机构
[1] School of Aeronautics, Northwestern Polytechnical University, Xi'an
来源
Jixie Gongcheng Xuebao/Journal of Mechanical Engineering | 2018年 / 54卷 / 17期
关键词
Accelerated life tests; Competing causes of failure; Martingale; Quantile regression; Resampling; Type-ii progressive censoring;
D O I
10.3901/JME.2018.17.190
中图分类号
学科分类号
摘要
Based on accelerated life tests (ALT) data, inferences on quantiles of the lifetime distribution at the use condition are obtained via an assumption of a specific working model. But in engineering practice, model misspecification can result in significant estimation bias. In order to solve this problem, a statistical analysis approach based on quantile regression is proposed to estimate quantiles of the lifetime distribution with competing causes of failure. Quantile regression is distribution-free and more flexible in modeling life-stress relations. Full consideration is given to the incompleteness of test data, which is due to Type-II progressive censoring as well as competing risks. The martingales based on cause specific hazards are used to construct unbiased estimating equations for the quantile regression model, and the solution of equations is equivalent to search for minimizations of convex functions. By using perturbation resampling approach, the interval estimations are presented. Finally, the Monte Carlo method is used to evaluate the performance of the proposed method. © 2018 Journal of Mechanical Engineering.
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页码:190 / 199
页数:9
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