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Stress-strength reliability of Weibull distribution based on progressively censored samples
dc.contributor.author | Asgharzadeh, Akbar |
dc.contributor.author | Valiollahi, Reza |
dc.contributor.author | Raqab, Mohammad Z. |
dc.date.accessioned | 2013-05-03T16:39:05Z |
dc.date.available | 2013-05-03T16:39:05Z |
dc.date.issued | 2011 |
dc.identifier.citation | Asgharzadeh, 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. |
dc.identifier.issn | 1696-2281 |
dc.identifier.uri | http://hdl.handle.net/2099/13276 |
dc.description.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. |
dc.format.extent | 22 p. |
dc.language.iso | eng |
dc.publisher | Institut d'Estadística de Catalunya |
dc.relation.ispartof | SORT. 2011, vol. 35, núm. 2 |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica |
dc.subject.lcsh | Mathematical statistics |
dc.subject.other | Maximum likelihood estimator |
dc.subject.other | Approximate maximum likeli hood estimator |
dc.subject.other | Bootstrap confidence interval |
dc.subject.other | Bayesian estimation |
dc.subject.other | Metropolis-Ha sting method |
dc.subject.other | Progressive Type-II censoring |
dc.title | Stress-strength reliability of Weibull distribution based on progressively censored samples |
dc.type | Article |
dc.subject.lemac | Estadística matemàtica |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::62 Statistics::62F Parametric inference |
dc.subject.ams | Classificació AMS::62 Statistics::62N Survival analysis and censored data |
dc.rights.access | Open Access |
local.citation.author | Asgharzadeh, Akbar; Valiollahi, Reza; Raqab, Mohammad Z. |
local.citation.publicationName | SORT |
local.citation.volume | 35 |
local.citation.number | 2 |
local.citation.startingPage | 103 |
local.citation.endingPage | 124 |