A Bayesian analysis of the Conway–Maxwell–Poisson cure rate model
- 304 Downloads
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.
KeywordsSurvival analysis Cure rate models Long-term survival models Conway–Maxwell–Poisson (COM-Poisson) distribution Bayesian analysis Weibull distribution
Mathematics Subject Classification (2000)62N01 62F15
Unable to display preview. Download preview PDF.
- Conway RW, Maxwell WL (1961) A queuing model with state dependent services rates. J Ind Eng XII: 132–136Google Scholar
- Gelfand AE, Dey DK, Chang H (1992) Model determination using predictive distributions with implementation via sampling-based methods. In: Bayesian Statistics 4 (Peñíscola, 1991), Oxford Univ. Press, New York, pp 147–167Google Scholar
- Kirkwood JM, Ibrahim JG, Sondak VK, Richards J, Flaherty LE, Ernstoff MS, Smith TJ, Rao U, Steele M, Blum RH (2000) High- and low-dose interferon alfa-2b in high-risk melanoma: first analysis of intergroup trial E1690/S9111/C9190. J Clin Oncol 18: 2444–2458Google Scholar
- Thomas A, O’Hara B, Ligges U, Sturtz S (2006) Making BUGS open. R News 6: 12–17Google Scholar