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Improved techniques for parametric and nonparametric evaluations of the first‐passage time for degradation processes

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  • Lochana K. Palayangoda
  • Hon Keung Tony Ng
  • Ronald W. Butler

Abstract

For degradation data in reliability analysis, estimation of the first‐passage time (FPT) distribution to a threshold provides valuable information on reliability characteristics. Recently, Balakrishnan and Qin (2019; Applied Stochastic Models in Business and Industry, 35:571–590) studied a nonparametric method to approximate the FPT distribution of such degradation processes if the underlying process type is unknown. In this article, we propose some improved techniques based on saddlepoint approximation, which enhance those existing methods. Numerical examples and Monte Carlo simulation studies are used to illustrate the advantages of the proposed techniques. Limitations of the improved techniques are discussed and some possible solutions to such are proposed. Some concluding remarks and practical recommendations are provided based on the results.

Suggested Citation

  • Lochana K. Palayangoda & Hon Keung Tony Ng & Ronald W. Butler, 2020. "Improved techniques for parametric and nonparametric evaluations of the first‐passage time for degradation processes," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 36(4), pages 730-753, July.
    • Handle: RePEc:wly:apsmbi:v:36:y:2020:i:4:p:730-753
    DOI: 10.1002/asmb.2528
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    Cited by:

    1. Hidekazu Yoshioka & Kunihiko Hamagami & Haruka Tomobe, 2023. "A Non-local Fokker-Planck Equation with Application to Probabilistic Evaluation of Sediment Replenishment Projects," Methodology and Computing in Applied Probability, Springer, vol. 25(1), pages 1-37, March.
    2. Palayangoda, Lochana K. & Ng, Hon Keung Tony, 2021. "Semiparametric and nonparametric evaluation of first-passage distribution of bivariate degradation processes," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    3. Saberzadeh, Zahra & Razmkhah, Mostafa, 2022. "Reliability of degrading complex systems with two dependent components per element," Reliability Engineering and System Safety, Elsevier, vol. 222(C).

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