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Bias reduction in the two-stage method for degradation data analysis
Xu, Ancha Wang, You-Gan Zheng, Shurong Cai, Fengjing
Xu, Ancha
Wang, You-Gan
Zheng, Shurong
Cai, Fengjing
Abstract
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.
Keywords
degradation data, random effects, stochastic process, general path model, bias reduction
Date
2020
Type
Journal article
Journal
Applied Mathematical Modelling
Book
Volume
77
Issue
Part 2
Page Range
1413-1424
Article Number
ACU Department
Institute for Learning Sciences and Teacher Education (ILSTE)
Faculty of Education and Arts
Faculty of Education and Arts
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Event URL
Open Access Status
License
File Access
Open
Controlled
Controlled