A Semiparametric Bayesian Approach for the Analysis of Competing Risks Data

Competing Hazards Regression Parameter Estimation Under Different Informative Priors

“…In the context of Bayesian approach, Sen et al (2010) considered Bayesian method of estimation for semiparametric survival analysis of breast cancer data with masked cause of failure. Sreedevi and Sankaran (2012) analysed the semiparametric cause specific hazard function through Bayesian approach by assuming gamma process prior for cumulative cause specific hazard function. Ge and Chen (2012) utilized the Bayesian method of estimation for fully specified subdistribution hazard model by considering piecewise exponential model with Jeffrey's and gamma priors using Gibbs sampling algorithm.…”

Bayesian Survival Analysis Using Gamma Processes with Adaptive Time Partition

“…Gamma process is one of the most widely used non-parametric process priors to model the cumulative baseline hazard in Bayesian proportional hazards models (Kalbfleisch, 1978;Clayton, 1991;Sinha et al, 1999Sinha et al, , 2003Sinha et al, , 2015. It has been adopted in many applications including multivariate methods (Dunson and Chen, 2004;Sen et al, 2010;Cai, 2010;Sreedevi and Sankaran, 2012;Ouyang et al, 2013) and variable selection methods (Lee et al, 2011;Savitsky et al, 2011;Gu et al, 2013;Zhao et al, 2014;Lee et al, 2015a), and other survival models (Gelfand and Kottas, 2003;Cho et al, 2009;Zhao et al, 2015). In the absence of the prior information, in the survival models where Gamma process prior is used for cumulative baseline hazard functions (Burridge, 1981;Lee et al, 2011;Savitsky et al, 2011;Gu et al, 2013;Zhao et al, 2014;Lee et al, 2015a), the time partition is specified either based on uniquely ordered failure times or equi-length intervals conditional on the prespecified number of interval cutpoints.…”