Bayesian survival analysis with INLA

Author:

Alvares Danilo1ORCID,van Niekerk Janet2ORCID,Krainski Elias Teixeira2,Rue Håvard2,Rustand Denis2

Affiliation:

1. MRC Biostatistics Unit University of Cambridge Cambridge UK

2. Computer, Electrical and Mathematical Sciences and Engineering Division King Abdullah University of Science and Technology Thuwal Kingdom of Saudi Arabia

Abstract

This tutorial shows how various Bayesian survival models can be fitted using the integrated nested Laplace approximation in a clear, legible, and comprehensible manner using the INLA and INLAjoint R‐packages. Such models include accelerated failure time, proportional hazards, mixture cure, competing risks, multi‐state, frailty, and joint models of longitudinal and survival data, originally presented in the article “Bayesian survival analysis with BUGS.” In addition, we illustrate the implementation of a new joint model for a longitudinal semicontinuous marker, recurrent events, and a terminal event. Our proposal aims to provide the reader with syntax examples for implementing survival models using a fast and accurate approximate Bayesian inferential approach.

Funder

Medical Research Council

Publisher

Wiley

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