Date of Award
2013
Publication Type
Master Thesis
Degree Name
M.Sc.
Department
Mathematics and Statistics
Keywords
Pure sciences, Additive hazard, Bayesian, Markov chain monte carlo, Spatial, Survival
Supervisor
Hussein, Abdulkadir
Supervisor
Nkurunziza, Severien
Rights
info:eu-repo/semantics/openAccess
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Abstract
This thesis will be dealing with the problem of Bayesian estimation in additive survival data models accounting for spatial dependencies. We consider the Aalen's additive hazards model in which baseline hazard function, the regression coecients as well as the covariates are all allowed to be time varying processes. We incorporate in this model an extra random vector of frailties accounting for spatial variations among the observations. Consequently, we propose a Bayesian approach to solving the inference problem for such spatial frailty model by assuming piece-wise constant structure on all timevarying functions in the model and hence, imposing appropriately chosen priors on all model parameters. We then employ some versions of MCMC and Gibbs sampling approaches to carry out the inference about the model parameters and apply the resulting algorithm to Prostate cancer diagnosis data for the state of Louisiana, taken from the Surveillance, Epidemiology, and End Results (SEER) databases.
Recommended Citation
Chernoukhov, Alexander, "Bayesian Spatial Additive Hazard Model" (2013). Electronic Theses and Dissertations. 4965.
https://scholar.uwindsor.ca/etd/4965