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Bayesian inference for Common cause failure rate based on causal inference with missing data

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  • Nguyen, H.D.
  • Gouno, E.

Abstract

This paper proposes a methodology to handle the causality to make inference on common cause failure (CCF) in a missing data situation. The data are collected in the form of contingency tables but the only available tokens of information are the numbers of CCFs of different orders and the numbers of failures due to a given cause, i.e. the margins of the contingency table. The frequencies in each cell are unknown; we are in a situation of missing data. Assuming a Poisson model for the count, we suggest a Bayesian approach and we use the inverse Bayes formula (IBF) combined with a Metropolis-Hastings algorithm to make inference on the parameters. The performance of the resulting algorithm is evaluated through simulations. A comparison is made by analogy with results obtained from the recently proposed α-composition method.

Suggested Citation

  • Nguyen, H.D. & Gouno, E., 2020. "Bayesian inference for Common cause failure rate based on causal inference with missing data," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    • Handle: RePEc:eee:reensy:v:197:y:2020:i:c:s0951832019308798
    DOI: 10.1016/j.ress.2019.106789
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    References listed on IDEAS

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    Citations

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    Cited by:

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    2. Yu, Yaocheng & Shuai, Bin & Huang, Wencheng, 2024. "Resilience evaluation of train control on-board system considering common cause failure: Based on a beta-factor and continuous-time bayesian network model," Reliability Engineering and System Safety, Elsevier, vol. 246(C).
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    4. Liu, Yang & Wang, Dewei & Sun, Xiaodong & Liu, Yang & Dinh, Nam & Hu, Rui, 2021. "Uncertainty quantification for Multiphase-CFD simulations of bubbly flows: a machine learning-based Bayesian approach supported by high-resolution experiments," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    5. Bodda, Saran Srikanth & Gupta, Abhinav & Dinh, Nam, 2020. "Enhancement of risk informed validation framework for external hazard scenario," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    6. Zhou, Daoqing & Sun, C.P. & Du, Yi-Mu & Guan, Xuefei, 2022. "Degradation and reliability of multi-function systems using the hazard rate matrix and Markovian approximation," Reliability Engineering and System Safety, Elsevier, vol. 218(PB).
    7. Bao, Han & Zhang, Hongbin & Shorthill, Tate & Chen, Edward & Lawrence, Svetlana, 2023. "Quantitative evaluation of common cause failures in high safety-significant safety-related digital instrumentation and control systems in nuclear power plants," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    8. Jayaraman, Deepan & Ramu, Palaniappan, 2023. "L-moments and Bayesian inference for probabilistic risk assessment with scarce samples that include extremes," Reliability Engineering and System Safety, Elsevier, vol. 235(C).

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