Bayesian analysis of survival data using the Rayleigh model and linex loss

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dc.contributor.authorMostert P.J.
dc.contributor.authorBekker A.
dc.contributor.authorRoux J.J.J.
dc.date.accessioned2011-05-15T16:02:33Z
dc.date.available2011-05-15T16:02:33Z
dc.date.issued1998
dc.description.abstractBased on right censored data this paper presents the Bayes estimators for some lifetime distribution parameters such as the mean survival time, the hazard function and the survival distribution function, using the non-informative and informative prior distributions for θ. These estimators are derived using both the squared error loss function and Varian's asymmetric linear-exponential (linex) loss function. A hierarchical approach is followed when the hyperparameters of the conjugate gamma prior are unknown, which results in the use of the F-distribution as a prior for θ. A practical example illustrates the use of the non-informative and F priors under the two loss functions, as well as the prediction of the lifetime of a future observation/patient, for the case of unknown hyperparameters.
dc.description.versionArticle
dc.identifier.citationSouth African Statistical Journal
dc.identifier.citation32
dc.identifier.citation1
dc.identifier.issn0038271X
dc.identifier.urihttp://hdl.handle.net/10019.1/12522
dc.titleBayesian analysis of survival data using the Rayleigh model and linex loss
dc.typeArticle
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