A Bayesian Long-term Survival Model Parametrized in the Cured Fraction

被引:40
作者
de Castro, Mario [1 ]
Cancho, Vicente G. [1 ]
Rodrigues, Josemar [2 ]
机构
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP, Brazil
[2] Univ Fed Sao Carlos, Dept Estat, BR-13565905 Sao Carlos, SP, Brazil
关键词
Bayesian inference; Cure rate models; Long-term survival models; Negative binomial distribution; Survival analysis;
D O I
10.1002/bimj.200800199
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
The main goal of this paper is to investigate a cure rate model that comprehends some well-known proposals found in the literature. In our work the number of competing causes of the event of interest follows the negative binomial distribution. The model is conveniently reparametrized through the cured fraction, which is then linked to covariates by means of the logistic link. We explore the use of Markov chain Monte Carlo methods to develop a Bayesian analysis in the proposed model. The procedure is illustrated with a numerical example.
引用
收藏
页码:443 / 455
页数:13
相关论文
共 27 条
[1]  
[Anonymous], 1996, Survival analysis with long-term survivors
[2]   SURVIVAL CURVE FOR CANCER PATIENTS FOLLOWING TREATMENT [J].
BERKSON, J ;
GAGE, RP .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1952, 47 (259) :501-515
[3]  
BOAG JW, 1949, J ROY STAT SOC B, V11, P15
[4]  
Chen MH., 2000, MONTE CARLO METHODS
[5]   Flexible cure rate modeling under latent activation schemes [J].
Cooner, Freda ;
Banerjee, Sudipto ;
Carlin, Bradley P. ;
Sinha, Debajyoti .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2007, 102 (478) :560-572
[6]   Markov chain Monte Carlo convergence diagnostics: A comparative review [J].
Cowles, MK ;
Carlin, BP .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1996, 91 (434) :883-904
[7]  
DECASTRO M, 2008, BRAZILIAN J PROBABIL
[8]  
Doornik J.A., 2002, Object-oriented matrix programming using Ox, V3rd
[9]  
Gamerman D., 2006, Markov chain Monte Carlo: Stochastic simulation for Bayesian inference
[10]  
Gelfand AE., 1992, Bayesian Stat, V4, P147, DOI DOI 10.1093/OSO/9780198522669.003.0009