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Mis-specification analysis of Wiener degradation models by using f-divergence with outliers

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  • Zhang, Fode
  • Ng, Hon Keung Tony
  • Shi, Yimin

Abstract

Degradation models have been investigated extensively for the evaluation of the quality and reliability of highly reliable products. In practical applications, the proper model of a degradation dataset is often unknown and misspecified for one thing; the dataset may be contaminated or contains outliers for another. Here, contamination means the degradation measurements are inspected embedded by noise with different levels. Thus, it is necessary to discuss the model mis-specification analysis and degradation data analysis when the degradation measurements contain outliers. Information geometry is a theory of using modern differential geometry to investigate the structure of manifolds induced by the statistical models, and the f-divergence is a popular tool in information geometry. This paper focuses on the model mis-specification analysis by employing the f-divergence as a tool to measure the difference between the true model and suggested models. A robust parameter estimation method based on minimizing the f-divergence is proposed. The results based on Kullback–Leibler divergence are obtained as an illustration. Simulation results and two numerical examples are used to illustrate the advantages of the proposed methodologies.

Suggested Citation

  • Zhang, Fode & Ng, Hon Keung Tony & Shi, Yimin, 2020. "Mis-specification analysis of Wiener degradation models by using f-divergence with outliers," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    • Handle: RePEc:eee:reensy:v:195:y:2020:i:c:s0951832019301085
    DOI: 10.1016/j.ress.2019.106751
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    2. Wang, Jiaolong & Zhang, Fode & Zhang, Jianchuan & Liu, Wen & Zhou, Kuang, 2023. "A flexible RUL prediction method based on poly-cell LSTM with applications to lithium battery data," Reliability Engineering and System Safety, Elsevier, vol. 231(C).

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