A tutorial introduction to Bayesian inference for stochastic epidemic models using Approximate Bayesian Computation

Likelihood-based inference for disease outbreak data can be very challenging due to the inherent dependence of the data and the fact that they are usually incomplete. In this paper we review recent Approximate Bayesian Computation (ABC) methods for the analysis of such data by fitting to them stocha...

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Main Authors: Kypraios, Theodore, Neal, Peter, Prangle, Dennis
Format: Article
Published: Elsevier 2017
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Online Access:https://eprints.nottingham.ac.uk/44015/
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author Kypraios, Theodore
Neal, Peter
Prangle, Dennis
author_facet Kypraios, Theodore
Neal, Peter
Prangle, Dennis
author_sort Kypraios, Theodore
building Nottingham Research Data Repository
collection Online Access
description Likelihood-based inference for disease outbreak data can be very challenging due to the inherent dependence of the data and the fact that they are usually incomplete. In this paper we review recent Approximate Bayesian Computation (ABC) methods for the analysis of such data by fitting to them stochastic epidemic models without having to calculate the likelihood of the observed data. We consider both non-temporal and temporal-data and illustrate the methods with a number of examples featuring different models and datasets. In addition, we present extensions to existing algorithms which are easy to implement and provide an improvement to the existing methodology. Finally, R code to implement the algorithms presented in the paper is available on https://github.com/kypraios/epiABC.
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spelling nottingham-440152020-05-04T18:48:31Z https://eprints.nottingham.ac.uk/44015/ A tutorial introduction to Bayesian inference for stochastic epidemic models using Approximate Bayesian Computation Kypraios, Theodore Neal, Peter Prangle, Dennis Likelihood-based inference for disease outbreak data can be very challenging due to the inherent dependence of the data and the fact that they are usually incomplete. In this paper we review recent Approximate Bayesian Computation (ABC) methods for the analysis of such data by fitting to them stochastic epidemic models without having to calculate the likelihood of the observed data. We consider both non-temporal and temporal-data and illustrate the methods with a number of examples featuring different models and datasets. In addition, we present extensions to existing algorithms which are easy to implement and provide an improvement to the existing methodology. Finally, R code to implement the algorithms presented in the paper is available on https://github.com/kypraios/epiABC. Elsevier 2017-05-31 Article PeerReviewed Kypraios, Theodore, Neal, Peter and Prangle, Dennis (2017) A tutorial introduction to Bayesian inference for stochastic epidemic models using Approximate Bayesian Computation. Mathematical Biosciences, 287 . pp. 42-53. ISSN 1879-3134 Bayesian inference; Epidemics; Stochastic epidemic models; Approximate Bayesian Computation; Population Monte Carlo https://doi.org/10.1016/j.mbs.2016.07.001 doi:10.1016/j.mbs.2016.07.001 doi:10.1016/j.mbs.2016.07.001
spellingShingle Bayesian inference; Epidemics; Stochastic epidemic models; Approximate Bayesian Computation; Population Monte Carlo
Kypraios, Theodore
Neal, Peter
Prangle, Dennis
A tutorial introduction to Bayesian inference for stochastic epidemic models using Approximate Bayesian Computation
title A tutorial introduction to Bayesian inference for stochastic epidemic models using Approximate Bayesian Computation
title_full A tutorial introduction to Bayesian inference for stochastic epidemic models using Approximate Bayesian Computation
title_fullStr A tutorial introduction to Bayesian inference for stochastic epidemic models using Approximate Bayesian Computation
title_full_unstemmed A tutorial introduction to Bayesian inference for stochastic epidemic models using Approximate Bayesian Computation
title_short A tutorial introduction to Bayesian inference for stochastic epidemic models using Approximate Bayesian Computation
title_sort tutorial introduction to bayesian inference for stochastic epidemic models using approximate bayesian computation
topic Bayesian inference; Epidemics; Stochastic epidemic models; Approximate Bayesian Computation; Population Monte Carlo
url https://eprints.nottingham.ac.uk/44015/
https://eprints.nottingham.ac.uk/44015/
https://eprints.nottingham.ac.uk/44015/