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A new result on lifetime estimation based on skew-Wiener degradation model

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  • Pan, Donghui
  • Liu, Jia-Bao
  • Yang, Wenzhi

Abstract

This paper explores the influence of measurement errors on lifetime estimation based on Wiener degradation model with the skew normal distribution. The exact and explicit expressions of the lifetime distribution are derived, which subsumes several existing results as special cases.

Suggested Citation

  • Pan, Donghui & Liu, Jia-Bao & Yang, Wenzhi, 2018. "A new result on lifetime estimation based on skew-Wiener degradation model," Statistics & Probability Letters, Elsevier, vol. 138(C), pages 157-164.
    • Handle: RePEc:eee:stapro:v:138:y:2018:i:c:p:157-164
    DOI: 10.1016/j.spl.2018.03.009
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    References listed on IDEAS

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    1. Zhai, Qingqing & Ye, Zhi-Sheng & Yang, Jun & Zhao, Yu, 2016. "Measurement errors in degradation-based burn-in," Reliability Engineering and System Safety, Elsevier, vol. 150(C), pages 126-135.
    2. Jin, Guang & Matthews, David E. & Zhou, Zhongbao, 2013. "A Bayesian framework for on-line degradation assessment and residual life prediction of secondary batteries inspacecraft," Reliability Engineering and System Safety, Elsevier, vol. 113(C), pages 7-20.
    3. Wang, Xiaolin & Balakrishnan, Narayanaswamy & Guo, Bo, 2014. "Residual life estimation based on a generalized Wiener degradation process," Reliability Engineering and System Safety, Elsevier, vol. 124(C), pages 13-23.
    4. Si, Xiao-Sheng & Chen, Mao-Yin & Wang, Wenbin & Hu, Chang-Hua & Zhou, Dong-Hua, 2013. "Specifying measurement errors for required lifetime estimation performance," European Journal of Operational Research, Elsevier, vol. 231(3), pages 631-644.
    5. Ye, Zhi-Sheng & Shen, Yan & Xie, Min, 2012. "Degradation-based burn-in with preventive maintenance," European Journal of Operational Research, Elsevier, vol. 221(2), pages 360-367.
    6. Wang, Xiao, 2010. "Wiener processes with random effects for degradation data," Journal of Multivariate Analysis, Elsevier, vol. 101(2), pages 340-351, February.
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    Cited by:

    1. Wang, Xiaofei & Wang, Bing Xing & Jiang, Pei Hua & Hong, Yili, 2020. "Accurate reliability inference based on Wiener process with random effects for degradation data," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    2. Li, Xiao-Yang & Chen, Da-Yu & Wu, Ji-Peng & Kang, Rui, 2022. "3-Dimensional general ADT modeling and analysis: Considering epistemic uncertainties in unit, time and stress dimension," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    3. Hao, Songhua & Yang, Jun & Berenguer, Christophe, 2019. "Degradation analysis based on an extended inverse Gaussian process model with skew-normal random effects and measurement errors," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 261-270.
    4. Peihua Jiang, 2022. "Statistical Inference of Wiener Constant-Stress Accelerated Degradation Model with Random Effects," Mathematics, MDPI, vol. 10(16), pages 1-18, August.

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