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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 6 | Year 2020 | Article Id. IJMTT-V66I6P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I6P511

Bayesian Approach to Series System Reliability Estimation


Dr G Chaudhuri
Abstract

The problem of finding the posterior confidence limits for the reliability of a series system is considered in this paper and the confidence limits for the reliability of a series system with k- independent exponential components are obtained. The method is illustrated with an example involving a system with three components. Some important special cases are also studied with illustration.

Keywords
Bayes Estimate, Series System, Exponential Distribution
References

[1] Agatha Rodrigues, F Bhering, C Pereira, A Polpa, “Bayesian estimation of component reliabilities in a coherent systems”, DOI 10.1109/ACCESS.2018.2821102, IEEE Access, 2018.
[2] G Chaudhuri, K Hu and N Afshar, “A new approach to system reliability”, IEEE Transactions on Reliability, Vol 50, No 1, 2001.
[3] El Mawaziny, A H and Buehler R J, “Confidence limits for the reliability of series system”, Journal of Amer. Stat. Assoc., 62, pp. 1452- 1459, 1967.
[4] Guo, Jiqiang and Wilson, Alyson G., "Bayesian Methods for Estimating the Reliability of Complex Systems Using Heterogeneous Multilevel Information" . Statistics Preprints. 104. http://lib.dr.iastate.edu/stat_las_preprints/104, 2010
[5] Hoyland A and M Rausand , “ System Reliability Theory, Models and Statistical Methods”, Wiley, 1994.
[6] Leiberman G J and Ross S M,” Confidence intervals for independent exponential series system”, Journal of Amer. Stat Assoc, 66, pp. 837 – 840, 1971.
[7] Sarkar T K, “ An exact lower confidence limit for the reliability of a series system where each component has an exponential time to failure distribution”, Technometrics, 13,pp.535 – 546, 1971.
[8] Sinha S K, “Reliability and life testing”, Wiley, New York, 1986.
[9] Springer Melvin D, “Bayesian confidence limits for the reliability of cascade exponential subsystems”, IEEE Transactions on Reliability, R-16, pp.86 – 89,1967.
[10] Thompson W E and R D Hayness, “On the reliability, availability and Bayes confidence intervals for multi-component system”, Naval Research Logistics Quarterly, 27, pp. 345 – 358, 1980.
[11] Thomson W E and E Y Chang, “Bayes confidence limits for reliability of redundant systems”, Technometrics, 17, pp. 89 – 93, 2012.
[12] V P Pandit and N Kavita , Bayesian analysis of Stress- Strength Reliability for Inverse Exponential distribution under various loss functions, International Journal of Mathematics Trends and Technology, (IJMTT), Vol 65, Issue 7, 2019.

Citation :

Dr G Chaudhuri, "Bayesian Approach to Series System Reliability Estimation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 6, pp. 105-109, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I6P511

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