Abstract
The Bayesian system reliability assessment under uncertain environments is proposed in this paper. In order to apply the Bayesian approach, the uncertain parameters are assumed as uncertain random variables with uncertain prior distributions. Then the traditional Bayesian estimation method and uncertain set theory are combined to the reliability of the system which is uncertain Bayesian point estimates.
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References
Liu BD (2004) Uncertainty theory, vol 10. Springer, Berlin, pp 91–99
Wei BC (2006) A Course in parametric statistics. Higher Education Press, Beijing
Liu BD (2010) Uncertain set theory and uncertain inference rule with application to uncertain control. J Uncertain Syst 4:83–98
Cao JH, Chen K (2006) Reliable mathematical introduction. Higher Education Press, Beijing
Wu HC (2004) Bayesian system reliability assessment under fuzzy environments. Reliab Eng Syst Saf 83:277–286
Wu HC (2003) The fuzzy estimators of fuzzy parameters based on fuzzy random variables. Eur J Oper Res 146:101–114
Acknowledgments
This work is supported by the Natural Science Foundation of Hubei Province, China (No. 2011CDB167), the Major Research Program of Hubei Provincial Department of Education, China (No. Z20092701), the Ph.D. Fund of Huanggang Normal University to H. B. Liu, and the Innovative Group Project of Hubei Provincial Department of Education (No. 03BA85).
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Jin, L., Liu, H. (2013). Bayesian System Reliability Assessment Under Uncertain Environment. In: Yang, Y., Ma, M. (eds) Proceedings of the 2nd International Conference on Green Communications and Networks 2012 (GCN 2012): Volume 4. Lecture Notes in Electrical Engineering, vol 226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35440-3_6
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DOI: https://doi.org/10.1007/978-3-642-35440-3_6
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