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Rational expectations as a tool for predicting failure of weighted k-out-of-n reliability systems

Author

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  • Jørgen Vitting Andersen

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, CNRS - Centre National de la Recherche Scientifique)

  • Roy Cerqueti

    (UNIROMA - Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome], LSBU - London South Bank University)

  • Jessica Riccioni

    (UNIROMA - Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome])

Abstract

Here we introduce the idea of using rational expectations, a core concept in economics and finance, as a tool to predict the optimal failure time for a wide class of weighted k-out-of-n reliability systems. We illustrate the concept by applying it to systems which have components with heterogeneous failure times. Depending on the heterogeneous distributions of component failure, we find different measures to be optimal for predicting the failure time of the total system. We give examples of how, as a given system deteriorates over time, one can issue different optimal predictions of system failure by choosing among a set of time-dependent measures.

Suggested Citation

  • Jørgen Vitting Andersen & Roy Cerqueti & Jessica Riccioni, 2023. "Rational expectations as a tool for predicting failure of weighted k-out-of-n reliability systems," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-03634370, HAL.
  • Handle: RePEc:hal:cesptp:hal-03634370
    DOI: 10.1007/s10479-023-05300-x
    Note: View the original document on HAL open archive server: https://hal.science/hal-03634370
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    1. Zarezadeh, S. & Mohammadi, L. & Balakrishnan, N., 2018. "On the joint signature of several coherent systems with some shared components," European Journal of Operational Research, Elsevier, vol. 264(3), pages 1092-1100.
    2. Kinateder, Harald & Papavassiliou, Vassilios G., 2019. "Sovereign bond return prediction with realized higher moments," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 62(C), pages 53-73.
    3. Wang, Yong & Li, Lin & Huang, Shuhong & Chang, Qing, 2012. "Reliability and covariance estimation of weighted k-out-of-n multi-state systems," European Journal of Operational Research, Elsevier, vol. 221(1), pages 138-147.
    4. Zhang, Yiying, 2018. "Optimal allocation of active redundancies in weighted k-out-of-n systems," Statistics & Probability Letters, Elsevier, vol. 135(C), pages 110-117.
    5. Kim, Michael Jong & Jiang, Rui & Makis, Viliam & Lee, Chi-Guhn, 2011. "Optimal Bayesian fault prediction scheme for a partially observable system subject to random failure," European Journal of Operational Research, Elsevier, vol. 214(2), pages 331-339, October.
    6. Atıcı, Ferhan M. & Ekiz, Funda & Lebedinsky, Alex, 2014. "Cagan type rational expectation model on complex discrete time domains," European Journal of Operational Research, Elsevier, vol. 237(1), pages 148-151.
    7. Parsa, Motahareh & Di Crescenzo, Antonio & Jabbari, Hadi, 2018. "Analysis of reliability systems via Gini-type index," European Journal of Operational Research, Elsevier, vol. 264(1), pages 340-353.
    8. Gupta, Nitin & Misra, Neeraj & Kumar, Somesh, 2015. "Stochastic comparisons of residual lifetimes and inactivity times of coherent systems with dependent identically distributed components," European Journal of Operational Research, Elsevier, vol. 240(2), pages 425-430.
    9. Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-1286, September.
    10. Azaron, Amir & Katagiri, Hideki & Sakawa, Masatoshi & Modarres, Mohammad, 2005. "Reliability function of a class of time-dependent systems with standby redundancy," European Journal of Operational Research, Elsevier, vol. 164(2), pages 378-386, July.
    11. Thomas J. Sargent, 1973. "Rational Expectations, the Real Rate of Interest, and the Natural Rate of Unemployment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 4(2), pages 429-480.
    12. Eryilmaz, Serkan, 2012. "On the mean residual life of a k-out-of-n:G system with a single cold standby component," European Journal of Operational Research, Elsevier, vol. 222(2), pages 273-277.
    13. Hubert Ooghe & Christophe Spaenjers, 2010. "A note on performance measures for business failure prediction models," Applied Economics Letters, Taylor & Francis Journals, vol. 17(1), pages 67-70, January.
    14. Navarro, Jorge & Ruiz, Jose M. & Sandoval, Carlos J., 2005. "A note on comparisons among coherent systems with dependent components using signatures," Statistics & Probability Letters, Elsevier, vol. 72(2), pages 179-185, April.
    15. Thomas Delcey & Francesco Sergi, 2019. "The Efficient Market Hypothesis and Rational Expectations. How Did They Meet and Live (Happily?) Ever After," Working Papers hal-02187362, HAL.
    16. Zhang, Nan & Fouladirad, Mitra & Barros, Anne, 2019. "Reliability-based measures and prognostic analysis of a K-out-of-N system in a random environment," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1120-1131.
    17. Barro, Robert J., 1976. "Rational expectations and the role of monetary policy," Journal of Monetary Economics, Elsevier, vol. 2(1), pages 1-32, January.
    18. van Noortwijk, Jan M. & Cooke, Roger M. & Kok, Matthijs, 1995. "A Bayesian failure model based on isotropic deterioration," European Journal of Operational Research, Elsevier, vol. 82(2), pages 270-282, April.
    19. Li, Wei & Zuo, Ming J., 2008. "Reliability evaluation of multi-state weighted k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 93(1), pages 160-167.
    20. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
    21. Thomas Delcey & Francesco Sergi, 2019. "The Efficient Market Hypothesis and Rational Expectations. How Did They Meet and Live (Happily?) Ever After," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-02187362, HAL.
    22. David V. Mastran & Nozer D. Singpurwalla, 1978. "A Bayesian Estimation of the Reliability of Coherent Structures," Operations Research, INFORMS, vol. 26(4), pages 663-672, August.
    23. David V. Mastran, 1976. "Incorporating Component and System Test Data into the Same Assessment: A Bayesian Approach," Operations Research, INFORMS, vol. 24(3), pages 491-499, June.
    24. Navarro, Jorge & Pellerey, Franco & Di Crescenzo, Antonio, 2015. "Orderings of coherent systems with randomized dependent components," European Journal of Operational Research, Elsevier, vol. 240(1), pages 127-139.
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