Bayesian estimation of the limiting availability in the presence of right-censored data

This work presents a Bayesian approach for estimating the limiting availability of an one-unit repairable system when the data are subject to right censorship. It is assumed that the failure and repair times of the components are independent exponential random variables. A conjugate Bayesian analysi...

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Bibliographic Details
Published inMetron (Rome) Vol. 72; no. 3; pp. 247 - 267
Main Authors Román, Sebastián T., Romeo, José S., Salinas-Torres, Victor H.
Format Journal Article
LanguageEnglish
Published Milan Springer Milan 01.10.2014
Subjects
Mathematics and Statistics
Statistical Theory and Methods
Statistics
Conjugate analysis
Generalized beta distribution
Repairable one-unit system
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Summary:This work presents a Bayesian approach for estimating the limiting availability of an one-unit repairable system when the data are subject to right censorship. It is assumed that the failure and repair times of the components are independent exponential random variables. A conjugate Bayesian analysis is performed considering an informative and non informative prior distributions. Simulations are presented to study the performance of the Bayesian solutions. Some observations are made in relation to the maximum likelihood method. The Weibull case is also discussed.
ISSN:0026-1424
2281-695X
DOI:10.1007/s40300-014-0037-0