A Bayesian analysis of the Conway-Maxwell-Poisson cure rate model

被引:10
|
作者
Cancho, Vicente G. [1 ]
de Castro, Mario [1 ]
Rodrigues, Josemar [2 ]
机构
[1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, BR-13560970 Sao Carlos, SP, Brazil
[2] Univ Fed Sao Carlos, Dept Estat, BR-13565905 Sao Carlos, SP, Brazil
关键词
Survival analysis; Cure rate models; Long-term survival models; Conway-Maxwell-Poisson (COM-Poisson) distribution; Bayesian analysis; Weibull distribution; COUNT DATA; SURVIVAL MODELS; OVERDISPERSION; MELANOMA;
D O I
10.1007/s00362-010-0326-5
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
The purpose of this paper is to develop a Bayesian analysis for the right-censored survival data when immune or cured individuals may be present in the population from which the data is taken. In our approach the number of competing causes of the event of interest follows the Conway-Maxwell-Poisson distribution which generalizes the Poisson distribution. Markov chain Monte Carlo (MCMC) methods are used to develop a Bayesian procedure for the proposed model. Also, some discussions on the model selection and an illustration with a real data set are considered.
引用
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页码:165 / 176
页数:12
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