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
收藏
页码:165 / 176
页数:12
相关论文
共 50 条
  • [1] A Bayesian analysis of the Conway–Maxwell–Poisson cure rate model
    Vicente G. Cancho
    Mário de Castro
    Josemar Rodrigues
    Statistical Papers, 2012, 53 : 165 - 176
  • [2] Proportional hazards under Conway-Maxwell-Poisson cure rate model and associated inference
    Balakrishnan, N.
    Barui, S.
    Milienos, F. S.
    STATISTICAL METHODS IN MEDICAL RESEARCH, 2017, 26 (05) : 2055 - 2077
  • [3] Conjugate Analysis of the Conway-Maxwell-Poisson Distribution
    Kadane, Joseph B.
    Shmueli, Galit
    Minka, Thomas P.
    Borle, Sharad
    Boatwright, Peter
    BAYESIAN ANALYSIS, 2006, 1 (02): : 363 - 374
  • [4] A longitudinal Bayesian mixed effects model with hurdle Conway-Maxwell-Poisson distribution
    Kang, Tong
    Gaskins, Jeremy
    Levy, Steven
    Datta, Somnath
    STATISTICS IN MEDICINE, 2021, 40 (06) : 1336 - 1356
  • [5] The Conway-Maxwell-Poisson model for analyzing crash data
    Lord, Dominique
    Guikema, Seth D.
    APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, 2012, 28 (02) : 122 - 127
  • [6] New biased estimators for the Conway-Maxwell-Poisson Model
    Dawoud, Issam
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2025, 95 (01) : 117 - 136
  • [7] On the Conway-Maxwell-Poisson point process
    Flint, Ian
    Wang, Yan
    Xia, Aihua
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024, 53 (16) : 5687 - 5705
  • [8] Bayesian bivariate Conway-Maxwell-Poisson regression model for correlated count data in sports
    Florez, Mauro
    Guindani, Michele
    Vannucci, Marina
    JOURNAL OF QUANTITATIVE ANALYSIS IN SPORTS, 2025, 21 (01) : 51 - 71
  • [9] Bayesian Conway-Maxwell-Poisson (CMP) regression for longitudinal count data
    Alam, Morshed
    Gwon, Yeongjin
    Meza, Jane
    COMMUNICATIONS FOR STATISTICAL APPLICATIONS AND METHODS, 2023, 30 (03) : 291 - 309
  • [10] Bayesian Conway-Maxwell-Poisson regression models for overdispersed and underdispersed counts
    Huang, A.
    Kim, A. S. I.
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2021, 50 (13) : 3094 - 3105