Review of Bayesian Analysis in Additive Hazards Model

In Survival Analysis, the focus of interest is a timeT∗until the occurrence of some event. A setof explanatory variables (denoted by a vectorZ) is considered to analyze if there is a relationshipbetween any of them andT∗. Accordingly, the “hazard function” is defined:λ(t,z) := lim∆↓0P[T≤t+ ∆|T > t,Z=z]∆.Several models are defined based on this, as is the case of the additive model (among others).Bayesian techniques allow to incorporate previous knowledge or presumption information aboutthe parameters into the model. This area grows extensively since the computationally techniquesincrease, giving rise to powerful Markov Chain Monte Carlo (MCMC) methods, which allow togenerate random samples from the desired distributions. The purpose of this article is to offera summary of the research developed in Bayesian techniques to approach the additive hazardmodels.