Eryilmaz, Serkan and Kan, Cihangir and Akici, Fatih (2009): Consecutive kwithinmoutofn:F system with exchangeable components. Published in: Naval Research Logistics

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Abstract
As a generalization of koutofn:F and consecutive koutofn:F systems, the consecutive kwithinmoutofn:F system consists of n linearly ordered components such that the system fails iff there are m consecutive components which include among them at least k failed components. In this article, the reliability properties of consecutive kwithinmoutofn:F systems with exchangeable components are studied. The bounds and approximations for the survival function are provided. A Monte Carlo estimator of system signature is obtained and used to approximate survival function. The results are illustrated and numerics are provided for an exchangeable multivariate Pareto distribution.
Item Type:  MPRA Paper 

Original Title:  Consecutive kwithinmoutofn:F system with exchangeable components 
Language:  English 
Keywords:  exchangeable lifetimes; meantime to failure; Monte Carlo simulation; moving order statistics; multivariate Pareto distribution; Samaniego’s signature 
Subjects:  C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C13  Estimation: General C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C14  Semiparametric and Nonparametric Methods: General C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C15  Statistical Simulation Methods: General 
Item ID:  26838 
Depositing User:  Fatih 
Date Deposited:  19. Nov 2010 13:31 
Last Modified:  30. Dec 2015 18:16 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/26838 