A generalization of the compound rayleigh distribution: using a bayesian method on cancer survival times

A. Bekker, J.J.J. Roux and P.J. Mosteit

Communications in Statistics - Theory and Methods, 2000, vol. 29, issue 7, 1419-1433

Abstract: In this paper the generalized compound Rayleigh model, exhibiting flexible hazard rate, is high¬lighted. This makes it attractive for modelling survival times of patients showing characteristics of a random hazard rate. The Bayes estimators are derived for the parameters of this model and some survival time parameters from a right censored sample. This is done with respect to conjugate and discrete priors on the parameters of this model, under the squared error loss function, Varian's asymmetric linear-exponential (linex) loss function and a weighted linex loss function. The future survival time of a patient is estimated under these loss functions. A Monte Carlo simu¬lation procedure is used where closed form expressions of the estimators cannot be obtained. An example illustrates the proposed estimators for this model.

Date: 2000
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Citations: View citations in EconPapers (2)

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DOI: 10.1080/03610920008832554

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