Bias reduction in the two-stage method for degradation data analysis

Ancha Xu; You-Gan Wang; Shurong ZhengFengjing Cai

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Bias reduction in the two-stage method for degradation data analysis

机译：Bias reduction in the two-stage method for degradation data analysis

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摘要

Degradation data are usually collected for assessing the reliability of the product. We propose a new two-stage method to analyze degradation data. The degradation path is fitted by the nonlinear mixed effects model in the first stage, and the parameters in lifetime distribution are estimated by maximizing the asymptotic marginal distribution of pseudo lifetimes in the second stage. The new method has many advantages: (i) it does not require the distributions on random effects, (ii) the historical information about lifetime distribution of the product can be incorporated easily, and thus the estimated lifetime distribution has a closed form, (iii) bias correction term is automatically embedded into the asymptotic marginal distribution of pseudo lifetime. Finally, simulation studies and real data analysis are performed for illustration.

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来源
《Applied mathematical modelling》 |2020年第2期|1413-1424|共12页
作者
Ancha Xu; You-Gan Wang; Shurong ZhengFengjing Cai;
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作者单位

Zhejiang Gongshang University;

Queensland University of Technology;

Northeast China Normal UniversityWenzhou University;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类应用数学;
关键词
Degradation data; Random effects; Stochastic process; General path model; Bias reduction;

Bias reduction in the two-stage method for degradation data analysis

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