Bias reduction in the two-stage method for degradation data analysis
Journal article
Xu, Ancha, Wang, You-Gan, Zheng, Shurong and Cai, Fengjing. (2020). Bias reduction in the two-stage method for degradation data analysis. Applied Mathematical Modelling. 77(Part 2), pp. 1413-1424. https://doi.org/10.1016/j.apm.2019.08.024
Authors | Xu, Ancha, Wang, You-Gan, Zheng, Shurong and Cai, Fengjing |
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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 |
Year | 2020 |
Journal | Applied Mathematical Modelling |
Journal citation | 77 (Part 2), pp. 1413-1424 |
Publisher | Elsevier Inc. |
ISSN | 0307-904X |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.apm.2019.08.024 |
Scopus EID | 2-s2.0-85074536540 |
Page range | 1413-1424 |
Funder | National Natural Science Foundation of China (NSFC) |
Zhejiang Provincial Natural Science Foundation of China | |
Author's accepted manuscript | License File Access Level Open |
Publisher's version | License All rights reserved File Access Level Controlled |
Output status | Published |
Publication dates | |
28 Aug 2019 | |
Publication process dates | |
Accepted | 20 Aug 2019 |
Deposited | 24 Jul 2023 |
Grant ID | 11671303 |
Y19A010054 |
https://acuresearchbank.acu.edu.au/item/8z5z2/bias-reduction-in-the-two-stage-method-for-degradation-data-analysis
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Author's accepted manuscript
AM_Xu_2020_Bias_reduction_in_the_two_stage.pdf | |
License: CC BY-NC-ND 4.0 | |
File access level: Open |
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