A tutorial introduction to Bayesian inference for stochastic epidemic models using Markov chain Monte Carlo methods

PD O'Neill - Mathematical biosciences, 2002 - Elsevier
Recent Bayesian methods for the analysis of infectious disease outbreak data using
stochastic epidemic models are reviewed. These methods rely on Markov chain Monte Carlo …

Towards joint disease map**

L Held, I Natário, SE Fenton, H Rue… - Statistical methods in …, 2005 - journals.sagepub.com
This article discusses and extends statistical models to jointly analyse the spatial variation of
rates of several diseases with common risk factors. We start with a review of methods for …

[KİTAP][B] Advanced spatial modeling with stochastic partial differential equations using R and INLA

E Krainski, V Gómez-Rubio, H Bakka, A Lenzi… - 2018 - taylorfrancis.com
Modeling spatial and spatio-temporal continuous processes is an important and challenging
problem in spatial statistics. Advanced Spatial Modeling with Stochastic Partial Differential …

The SPDE approach for Gaussian and non-Gaussian fields: 10 years and still running

F Lindgren, D Bolin, H Rue - Spatial Statistics, 2022 - Elsevier
Gaussian processes and random fields have a long history, covering multiple approaches to
representing spatial and spatio-temporal dependence structures, such as covariance …

Penalising model component complexity: A principled, practical approach to constructing priors

D Simpson, H Rue, A Riebler, TG Martins, SH Sørbye - 2017 - projecteuclid.org
Supplement to “Penalising Model Component Complexity: A Principled, Practical Approach
to Constructing Priors”. The supplementary material contains the proofs of all theorems …

An intuitive Bayesian spatial model for disease map** that accounts for scaling

A Riebler, SH Sørbye, D Simpson… - Statistical methods in …, 2016 - journals.sagepub.com
In recent years, disease map** studies have become a routine application within
geographical epidemiology and are typically analysed within a Bayesian hierarchical model …

Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations

H Rue, S Martino, N Chopin - Journal of the Royal Statistical …, 2009 - academic.oup.com
Structured additive regression models are perhaps the most commonly used class of models
in statistical applications. It includes, among others,(generalized) linear …

[KİTAP][B] Hierarchical modeling and analysis for spatial data

S Banerjee, BP Carlin, AE Gelfand - 2003 - taylorfrancis.com
Among the many uses of hierarchical modeling, their application to the statistical analysis of
spatial and spatio-temporal data from areas such as epidemiology And environmental …

[KİTAP][B] Gaussian Markov random fields: theory and applications

H Rue, L Held - 2005 - taylorfrancis.com
Gaussian Markov Random Field (GMRF) models are most widely used in spatial statistics-a
very active area of research in which few up-to-date reference works are available. This is …

Improving Bayesian population dynamics inference: a coalescent-based model for multiple loci

MS Gill, P Lemey, NR Faria, A Rambaut… - Molecular biology …, 2013 - academic.oup.com
Effective population size is fundamental in population genetics and characterizes genetic
diversity. To infer past population dynamics from molecular sequence data, coalescent …