Eryilmaz, Serkan and Kan, Cihangir and Akici, Fatih
(2009):
*Consecutive k-within-m-out-of-n:F system with exchangeable components.*
Published in: Naval Research Logistics

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## Abstract

As a generalization of k-out-of-n:F and consecutive k-out-of-n:F systems, the consecutive k-within-m-out-of-n: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 k-within-m-out-of-n: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 |
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Original Title: | Consecutive k-within-m-out-of-n: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: | 28 Sep 2019 19:44 |

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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/26838 |