Parallel systems using the Weibull model

A. Polpo, M. A. Coque, C.A. de B. Pereira

Research output: Chapter in Book/Conference paperConference paper

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 languageEnglish
Title of host publicationBAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING
Subtitle of host publicationProceedings of the 28th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering
EditorsM. Lauretto, C. Pereira, J. Stern
Place of PublicationUSA
PublisherAmerican Institute of Physics
Pages215-223
Volume1073
ISBN (Print)9870735406049
DOIs
Publication statusPublished - 11 Nov 2008
Externally publishedYes
Event28th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering - Boraceia/SP, Brazil
Duration: 6 Jul 200811 Jul 2008
Conference number: 28

Publication series

NameAIP Conference Proceedings
PublisherAIP
Volume1073
ISSN (Print)0094-243X

Conference

Conference28th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering
Abbreviated titleMaxEnt
CountryBrazil
CityBoraceia/SP
Period6/07/0811/07/08

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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