Bayesian Reliability Estimation for Deteriorating Systems with Limited Samples Using the Maximum Entropy Approach

Autor: Ning-Cong Xiao, Yan-Feng Li, Zhonglai Wang, Weiwen Peng, Hong-Zhong Huang
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Entropy, Vol 15, Iss 12, Pp 5492-5509 (2013)
Druh dokumentu: article
ISSN: 1099-4300
DOI: 10.3390/e15125492
Popis: In this paper the combinations of maximum entropy method and Bayesian inference for reliability assessment of deteriorating system is proposed. Due to various uncertainties, less data and incomplete information, system parameters usually cannot be determined precisely. These uncertainty parameters can be modeled by fuzzy sets theory and the Bayesian inference which have been proved to be useful for deteriorating systems under small sample sizes. The maximum entropy approach can be used to calculate the maximum entropy density function of uncertainty parameters more accurately for it does not need any additional information and assumptions. Finally, two optimization models are presented which can be used to determine the lower and upper bounds of systems probability of failure under vague environment conditions. Two numerical examples are investigated to demonstrate the proposed method.
Databáze: Directory of Open Access Journals