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13.567 Articles in journals published by the UPC
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Stress-strength reliability of Weibull distribution based on progressively censored samples

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Asgharzadeh, Akbar
Valiollahi, Reza
Raqab, Mohammad Z.
Document typeArticle
Defense date2011
PublisherInstitut d'Estadística de Catalunya
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
Abstract
Based on progressively Type-II censored samples, this pape r deals with inference for the stress- strength reliability R = P ( Y < X ) when X and Y are two independent Weibull distributions with different scale parameters, but having the same shape param eter. The maximum likelihood esti- mator, and the approximate maximum likelihood estimator of R are obtained. Different confidence intervals are presented. The Bayes estimator of R and the corresponding credible interval using the Gibbs sampling technique are also proposed. Further, we consider the estimation of R when the same shape parameter is known. The results for exponenti al and Rayleigh distributions can be obtained as special cases with different scale parameter s. Analysis of a real data set as well a Monte Carlo simulation have been presented for illustrativ e purposes.
CitationAsgharzadeh, Akbar; Valiollahi, Reza; Raqab, Mohammad Z. Stress-strength reliability of Weibull distribution based on progressively censored samples. "SORT", vol. 35, núm. 2, p. 103-124. 
URIhttp://hdl.handle.net/2099/13276
ISSN1696-2281
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  • SORT (Statistics and Operations Research Transactions) - 2011: Vol. 35, Núm. 2 [5]
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