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On system reliability in stress-strength setup

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  • EryIlmaz, Serkan

Abstract

In this paper we study stress-strength reliability for a general coherent system. The exact expression as well as bounds and approximations for system reliability are presented. We also illustrate the estimation procedure for exponential stress-strength distributions.

Suggested Citation

  • EryIlmaz, Serkan, 2010. "On system reliability in stress-strength setup," Statistics & Probability Letters, Elsevier, vol. 80(9-10), pages 834-839, May.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:9-10:p:834-839
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    References listed on IDEAS

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    1. Bairamov, Ismihan & Arnold, Barry C., 2008. "On the residual lifelengths of the remaining components in an n-k+1 out of n system," Statistics & Probability Letters, Elsevier, vol. 78(8), pages 945-952, June.
    2. Zhang, Zhengcheng & Yang, Yonghong, 2010. "Ordered properties on the residual life and inactivity time of (n-k+1)-out-of-n systems under double monitoring," Statistics & Probability Letters, Elsevier, vol. 80(7-8), pages 711-717, April.
    3. K. Krishnamoorthy & Shubhabrata Mukherjee & Huizhen Guo, 2007. "Inference on Reliability in Two-parameter Exponential Stress–strength Model," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 65(3), pages 261-273, May.
    4. Baklizi, Ayman, 2008. "Likelihood and Bayesian estimation of using lower record values from the generalized exponential distribution," Computational Statistics & Data Analysis, Elsevier, vol. 52(7), pages 3468-3473, March.
    5. Eryilmaz, Serkan, 2008. "Multivariate stress-strength reliability model and its evaluation for coherent structures," Journal of Multivariate Analysis, Elsevier, vol. 99(9), pages 1878-1887, October.
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    Cited by:

    1. Fatih Kızılaslan, 2018. "Classical and Bayesian estimation of reliability in a multicomponent stress–strength model based on a general class of inverse exponentiated distributions," Statistical Papers, Springer, vol. 59(3), pages 1161-1192, September.
    2. Kızılaslan, Fatih, 2017. "Classical and Bayesian estimation of reliability in a multicomponent stress–strength model based on the proportional reversed hazard rate mode," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 136(C), pages 36-62.

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