Journals / Türkiye İstatistik Derneği İstatistik Dergisi / 2021 / Cilt: 13 - Sayı: 2

Estimation of stress-strength reliability of a parallel system with cold standby redundancy at component level

Pages
74–87
Publication Date
2021-07-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

A real-life data set is analysed for illustrative purposes of the findings.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we consider the estimation problem of stress-strength reliability of a parallel system with cold standby redundancy.
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Key Findings & Data:The reliability of the system is estimated when both strength and stress variables follow the exponential distribution and associated approximate confidence interval is constructed.
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Conclusion & Impact:A real-life data set is analysed for illustrative purposes of the findings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Stress-strength reliability · parallel system · cold standby redundancy

Abstract

In this paper, we consider the estimation problem of stress-strength reliability of a parallel system with cold standby redundancy. The reliability of the system is estimated when both strength and stress variables follow the exponential distribution and associated approximate confidence interval is constructed. Two different maximum likelihood and Bayes estimates are obtained. Lindley's approximation method has been utilized for Bayesian calculations. A real-life data set is analysed for illustrative purposes of the findings.

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Cite This Article

CÜRAN, G., KIZILASLAN, F. (2021). Estimation of stress-strength reliability of a parallel system with cold standby redundancy at component level. Türkiye İstatistik Derneği İstatistik Dergisi, Cilt: 13 - Sayı: 2, 74–87. https://ajindex.com/articles/812551

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References (15)

  1. Akgul, F.G. (2019). Reliability estimation in multicomponent stress-strength model for Topp-Leone distribution. Journal of Statistical Computation and Simulation, 89(15), 2914-2929.
  2. Birnbaum, Z. (1956). On a use of the Mann-Whitney statistic. The Regents of the University of California, Vol. 1. Washington: Univ. of Calif. Press, 13-17.
  3. Birnbaum, Z.W. and McCarty, B.C. (1958). A distribution-free upper con dence bounds for Pr(Y Boland, P.J. and El-Neweihi, E. (1995). Component redundancy vs system redundancy in the hazard rate ordering. IEEE Transactions on Reliability, 44(4), 614-619.
  4. Chen, J., Zhang, Y., Zhao P. and Zhou S. (2018). Allocation strategies of standby redundancies in series/parallel system. Communications in Statistics-Theory and Methods, 47(3), 708-724.
  5. Church, J.D. and Harris, B. (1970). The estimation of reliability from stress-strength relationships. Tech- nometrics, 12(1), 49-54.
  6. Dey, S., Mazucheli, J. and Anis, M.Z. (2017). Estimation of reliability of multicomponent stress-strength for a Kumaraswamy distribution. Communications in Statistics -Theory and Methods, 46(4), 1560-1572.
  7. Eryilmaz, S. (2008). Multivariate stress-strength reliability model and its evaluation for coherent structures. Journal of Multivariate Analysis, 99(9), 1878-1887.
  8. Eryilmaz, S. and Tank, F. (2012). On reliability analysis of a two-dependent-unit series system with a standby unit. Applied Mathematics and Computation, 218(15), 7792-7797.
  9. Eryilmaz, S. (2017). The e ectiveness of adding cold standby redundancy to a coherent system at system and component levels. Reliability Engineering and System Safety, 165, 331-335.
  10. Hasselman, B. (2018). Package `nleqslv', Version 3.3.2, https://cran.r-project.org/web/packages/nleqslv.
  11. Kızılaslan, F. (2018). Classical and Bayesian estimation of reliability in a multicomponent stress-strength model based on a general class of inverse exponentiated distributions. Statistical Papers, 59(3), 1161-1192.
  12. Kotz, S., Lumelskii, Y. and Pensky M. (2003). The Stres-Strength Model and its Generalizations. Singapore: World Scienti c Press.
  13. Lindley, D.V. (1980). Approximate Bayes method. Trabajos de Estadistica, 3, 281-288.
  14. Liu, Y., Shi, Y., Bai, X. and Zhan P. (2018). Reliability estimation of a N-M-cold-standby redundancy system in a multicomponent stress-strength model with generalized half-logistic distribution. Physica A, 490, 231-249.
  15. Nelson, W.B.(1972). Graphical analysis of accelerated life test data with the inverse power law model.