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Journals / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 2

The mean remaining strength of systems ın a stress-strength model

Selma GÜRLER
Pages
181–187
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

We assume that the strengths of the components are nonidentically distributed random variables and components are designed under the common stress.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study the mean remaining strength of a component in the stress-strength setup.
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Key Findings & Data:We present the models for the mean remain- ing strength for systems consisting of n independent components under the k-out-of-n:F , parallel and series configurations.
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Conclusion & Impact:We assume that the strengths of the components are nonidentically distributed random variables and components are designed under the common stress.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we study the mean remaining strength of a component in the stress-strength setup. We present the models for the mean remain- ing strength for systems consisting of n independent components under the k-out-of-n:F , parallel and series configurations. We assume that the strengths of the components are nonidentically distributed random variables and components are designed under the common stress.

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Cite This Article

GÜRLER, S. (2022). The mean remaining strength of systems ın a stress-strength model. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 2, 181–187. https://ajindex.com/articles/530413

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References (17)

  1. Asadi, M. and Bairamov, I. The Mean Residual Life Function of a k-out-of-n Structure at the System Level, IEEE Trans. Reliab. 55(2), 314-318, 2006
  2. Asadi, M. and Goliforushani, S. On the mean residual life function of coherent systems, IEEE Trans. Reliab. 57, 574-580, 2008
  3. Bairamov, I., Ahsanullah, M., Akhundov, I. A residual life function of a system having parallel or series structures, J. Statist. Theor. Appl. 1 (2), 119-132, 2002
  4. Bhattacharyya, G. K. and Johnson, R. A. Estimation of reliability in a component stress- strength model, J. Amer. Statist. Assn. 69, 966-70, 1974
  5. Bhattacharyya, G. K. and Johnson, R. A. Stress-strength models for system reliability, Proceedings of the symposium on Reliability and Fault Tree Analysis SIAM 509-532, 1975
  6. Dewanji, A. and Rao, T. S. On system reliability under stress-strength modeling, Commun. Statist-Theory. Meth. 30 (6), 1185-1196, 2001
  7. Ebrahimi, N. Estimation of reliability for a series stress-strength system, IEEE Trans. Reliab. 31, 202-205, 1982
  8. Eryılmaz, S. Consecutive k-Out-of-n: G System in Stress-Strength Setup, Communications in Statistics-Simulation and Computation 37, 579-589, 2008
  9. Eryılmaz, S. On system reliability in stress-strength setup, Statistics & Probability Letters 80 (9-10), 834-839, 2010
  10. Greco, L. and Ventura, L. Robust inference for the stress–strength reliability, Statistical Papers 52, 773-788, 2011
  11. Guess, F. M., Zhang, X., Young, T. M., Le ́n, R. V. Using mean residual life functions o for unique insights into strengths of materials data, International Journal of Reliability and Applications 6 (2), 79-85, 2005
  12. Guess, F. M., Steele, J. C., Young, T. M., Le ́n, R. V. Applying novel mean residual life confidence intervals, International Journal of Reliability and Applications 7 (2), 177-186, 2006
  13. Gurler, S. and Bairamov, I. Parallel and k-out-of-n: G systems with nonidentical com- ponents and their mean residual life functions, Appl. Math. Modell. 33 (2), 1116-1125, 2009
  14. Hanagal, D. D. Estimation of reliability of a component subjected to bivariate exponential stress, Statistical Papers 40, 211-220, 1999
  15. Hanagal, D. D. Estimation of system reliability, Statistical Papers 40, 99-106, 1999
  16. Johnson, R. A. Stress-strength Models for Reliability, Handbook of Statistics, Vol 7, Quality Control and Reliability (1988)
  17. Kotz, S., Lumelskii, Y., Pensky, M. The Stress-Strength Model and its Generalizations: Theory