### Abstract

A series system reliability is based on the minimum life time of its components. Its dual, the parallel system, is based on maximum. Here, we consider the statistical analysis of a parallel system where its components follows the Weibull parametric model. Our perspective is Bayesian. Due to the mathematical complexity, to obtain the posterior distribution we use the Metropolis‐Hasting simulation method. Based on this posterior, we evaluated the evidence of the Full Bayesian Significance Test —FBST— for comparing component reliabilities. The reason for using FBST is the fact that we are testing precise hypotheses. An example illustrates the methodology.

Original language | English |
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Title of host publication | BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING |

Subtitle of host publication | Proceedings of the 28th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering |

Editors | M. Lauretto, C. Pereira, J. Stern |

Place of Publication | USA |

Publisher | American Institute of Physics |

Pages | 215-223 |

Volume | 1073 |

ISBN (Print) | 9870735406049 |

DOIs | |

Publication status | Published - 11 Nov 2008 |

Externally published | Yes |

Event | 28th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering - Boraceia/SP, Brazil Duration: 6 Jul 2008 → 11 Jul 2008 Conference number: 28 |

### Publication series

Name | AIP Conference Proceedings |
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Publisher | AIP |

Volume | 1073 |

ISSN (Print) | 0094-243X |

### Conference

Conference | 28th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering |
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Abbreviated title | MaxEnt |

Country | Brazil |

City | Boraceia/SP |

Period | 6/07/08 → 11/07/08 |

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## Cite this

Polpo, A., Coque, M. A., & Pereira, C. A. D. B. (2008). Parallel systems using the Weibull model. In M. Lauretto, C. Pereira, & J. Stern (Eds.),

*BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING: Proceedings of the 28th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering*(Vol. 1073, pp. 215-223). (AIP Conference Proceedings; Vol. 1073). American Institute of Physics. https://doi.org/10.1063/1.3039002