Reliability estimators for the components of series and parallel systems: The Weibull model

Felipe L. Bhering, Carlos Alberto de Braganca Pereira, Adriano Polpo

Research output: Contribution to journalArticle

Abstract

This paper presents a hierarchical Bayesian approach to the estimation of components’ reliability (survival) using a Weibull model for each of them. The proposed method can be used to estimation with general survival censored data, because the estimation of a component’s reliability in a series (parallel) system is equivalent to the estimation of its survival function with right- (left-) censored data. Besides the Weibull parametric model for reliability data, independent gamma distributions are considered at the first hierarchical level for the Weibull parameters and independent uniform distributions over the real line as priors for the parameters of the gammas. In order to evaluate the model, an example and a simulation study are discussed.
Original languageEnglish
Pages (from-to)1633-1640
Number of pages8
JournalApplied Mathematics
Volume5
Issue number11
DOIs
Publication statusPublished - 1 Jun 2014
Externally publishedYes

Fingerprint

Weibull Model
Series System
Parallel Systems
Estimator
Censored Survival Data
Survival Function
Gamma distribution
Weibull
Censored Data
Parametric Model
Uniform distribution
Bayesian Approach
Real Line
Simulation Study
Evaluate

Cite this

Bhering, Felipe L. ; Pereira, Carlos Alberto de Braganca ; Polpo, Adriano. / Reliability estimators for the components of series and parallel systems : The Weibull model. In: Applied Mathematics. 2014 ; Vol. 5, No. 11. pp. 1633-1640.
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Reliability estimators for the components of series and parallel systems : The Weibull model. / Bhering, Felipe L.; Pereira, Carlos Alberto de Braganca ; Polpo, Adriano.

In: Applied Mathematics, Vol. 5, No. 11, 01.06.2014, p. 1633-1640.

Research output: Contribution to journalArticle

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