Bayesian Computing with INLA: A Review [PDF]
, 2016 The key operation in Bayesian inference is to compute high-dimensional integrals. An old approximate technique is the Laplace method or approximation, which dates back to Pierre-Simon Laplace (1774).
Bolin D +8 more
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Bayesian Spatial Modelling with R-INLA
Journal of Statistical Software, 2015 The principles behind the interface to continuous domain spatial models in the R- INLA software package for R are described. The integrated nested Laplace approximation (INLA) approach proposed by Rue, Martino, and Chopin (2009) is a computationally ...
Finn Lindgren, Håvard Rue
doaj +1 more source
A Bayesian spatio-temporal model of panel design data: airborne particle number concentration in Brisbane, Australia [PDF]
, 2013 This paper outlines a methodology for semi-parametric spatio-temporal modelling of data which is dense in time but sparse in space, obtained from a split panel design, the most feasible approach to covering space and time with limited equipment. The data
Box G. E. P. +6 more
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Modeling and Estimation for Self-Exciting Spatio-Temporal Models of Terrorist Activity [PDF]
, 2017 Spatio-temporal hierarchical modeling is an extremely attractive way to model the spread of crime or terrorism data over a given region, especially when the observations are counts and must be modeled discretely.
Clark, Nicholas +2 more
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Estimating the Expected Value of Partial Perfect Information in Health Economic Evaluations using Integrated Nested Laplace Approximation [PDF]
, 2016 The Expected Value of Perfect Partial Information (EVPPI) is a decision-theoretic measure of the "cost" of parametric uncertainty in decision making used principally in health economic decision making.
Baio G +8 more
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Integrated Nested Laplace Approximations (INLA)
, 2019 This is a short description and basic introduction to the Integrated nested Laplace approximations (INLA) approach. INLA is a deterministic paradigm for Bayesian inference in latent Gaussian models (LGMs) introduced in Rue et al. (2009). INLA relies on a combination of analytical approximations and efficient numerical integration schemes to achieve ...
Martino, Sara, Riebler, Andrea
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Bayesian joint models with INLA exploring marine mobile predator-prey and competitor species habitat overlap [PDF]
, 2017 EPSRC grant Ecowatt 2050 EP/K012851/1 ACKNOWLEDGMENTS We would like to thank the associate editor and the anonymous reviewers for their useful and constructive suggestions which led to a considerable improvement of the manuscript.
Dominicis, Michela De +5 more
core +2 more sources
Estimating the marginal likelihood with Integrated nested Laplace approximation (INLA)
, 2016 The marginal likelihood is a well established model selection criterion in Bayesian statistics. It also allows to efficiently calculate the marginal posterior model probabilities that can be used for Bayesian model averaging of quantities of interest.
Hubin, Aliaksandr, Storvik, Geir
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ISPRS International Journal of Geo-Information, 2016 This research investigates spatio-temporal patterns of police calls-for-service in the Region of Waterloo, Canada, at a fine spatial and temporal resolution. Modeling was implemented via Bayesian Integrated Nested Laplace Approximation (INLA).
Hui Luan, Matthew Quick, Jane Law
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Comparison of inference methods of genetic parameters with an application to body weight in broilers [PDF]
Archives Animal Breeding, 2015 REML (restricted maximum likelihood) has become the standard method of variance component estimation in animal breeding. Inference in Bayesian animal models is typically based upon Markov chain Monte Carlo (MCMC) methods, which are generally flexible but
G. Maniatis +4 more
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