@inproceedings{e47d5198d780485b8507ca640ad7e2b5,
title = "A Hierarchical Weibull Bayesian Model for Series and Parallel Systems",
abstract = "In this paper we present a hierarchical Bayesian approach to the estimation of component's reliability in a series and parallel systems using the Weibull model. The reliability problem of a series system is similar to the survival problem of right-censored data, while the parallel system is related to left-censored data. We used the Weibull model for the reliability time and a gamma distribution for first level on hierarchy for both, scale and shape, parameters of the model. The estimation is done using Monte Carlo Markov Chain tools and Expectation-Maximization algorithm. To exemplify the efficiency of the model we presented an study with simulated data.",
keywords = "Series system, parallel system, Weibull model, hierarchical model",
author = "Bhering, {F. L.} and A. Polpo and Pereira, {C. A. de B.}",
year = "2012",
doi = "10.1063/1.4759589",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
pages = "59--66",
editor = "JM Stern and MD Lauretto and A Polpo and MA Diniz",
booktitle = "XI BRAZILIAN MEETING ON BAYESIAN STATISTICS (EBEB 2012)",
address = "United States",
note = "11th Brazilian Meeting on Bayesian Statistics (EBEB) ; Conference date: 18-03-2012 Through 22-03-2012",
}