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This is a short description and basic introduction to the Integrated nested Laplace approximations (INLA) approach.
Space–time smoothing of complex survey data: Small area estimation for child mortality
Mercer, L. D., Wakefield, J., Pantazis, A., Lutambi, A. M., Masanja, H., and Clark, S. (2015) · 1905
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Equation of state calculations by fast computing machines
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., and Teller, E. (1953) · 1953
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Monte Carlo sampling methods using Markov chains and their applications
Hastings, W. K. (1970) · 1970
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Extra-poisson variation in log-linear models
Breslow, N. E. (1984) · 1984
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Accurate approximations for posterior moments and marginal densities
Tierney, L. and Kadane, J. B. (1986) · 1986
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Bayesian image restoration, with two applications in spatial statistics
Besag, J., York, J., and Mollié, A. (1991) · 1991
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Bayesian measures of model complexity and fit
Spiegelhalter, D. J., Best, N. G., Carlin, B. P., and Van Der Linde, A. (2002) · 2002
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Gaussian Markov Random Fields: Theory And Applications (Monographs on Statistics and Applied Probability)
Rue, H. and Held, L. (2005) · 2005
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Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations
Rue, H., Martino, S., and Chopin, N. (2009) · 2009
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Posterior and cross-validatory predictive checks: A comparison of MCMC and INLA
Held, L., Schrödle, B., and Rue, H. (2010) · 2010
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Asymptotic equivalence of Bayes cross validation and widely applicable information criterion in singular learning theory
Watanabe, S. (2010) · 2010
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Probabilistic sensitivity analysis in health economics
Baio, G. and Dawid, A. P. (2011) · 2011
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An explicit link between Gaussian fields and Gaussian Markov random fields: the stochastic partial differential equation approach
Lindgren, F., Rue, H., and Lindström, J. (2011) · 2011
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Bayesian analysis of RNA sequencing data by estimating multiple shrinkage priors
Van De Wiel, M. A., Leday, G. G., Pardo, L., Rue, H., Van Der Vaart, A. W., and Van Wieringen, W. N. (2012) · 2012
Cited alongside, same era.
Animal models and integrated nested Laplace approximations
Holand, A., Steinsland, I., Martino, S., and Jensen, H. (2013) · 2013
Cited alongside, same era.
Bayesian computing with INLA: new features
Martins, T. G., Simpson, D., Lindgren, F., and Rue, H. (2013) · 2013
Cited alongside, same era.
Approximate Bayesian inference for spatial econometrics models
Bivand, R. S., Gómez-Rubio, V., and Rue, H. (2014) · 2014
Cited alongside, same era.
Spatial data analysis with R-INLA with some extensions
Bivand, R. S., Gómez-Rubio, V., and Rue, H. (2015) · 2015
Cited alongside, same era.
Excursion and contour uncertainty regions for latent Gaussian models
Bolin, D. and Lindgren, F. (2015) · 2015
Spatio-temporal analysis of epidemic phenomena using the R package surveillance
Meyer, S., Held, L., and Höhle, M. (2017) · 2017
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Projecting the future burden of cancer: Bayesian age–period–cohort analysis with integrated nested Laplace approximations
Riebler, A. and Held, L. (2017) · 2017
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Bayesian computing with INLA: A review
Rue, H., Riebler, A., Sørbye, S. H., Illian, J. B., Simpson, D. P., and Lindgren, F. K. (2017) · 2017
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Penalising model component complexity: A principled, practical approach to constructing priors
Simpson, D., Rue, H., Riebler, A., Martins, T. G., and Sørbye, S. H. (2017) · 2017
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Generalized Additive Models: An Introduction with R
Wood, S. (2017) · 2017
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Spatial modeling with R-INLA: A review
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Cited alongside, same era.
Model-based geostatistics the easy way
Brown, P. (2015) · 2015
Cited alongside, same era.
Improving the INLA approach for approximate Bayesian inference for latent Gaussian models
Ferkingstad, E. and Rue, H. (2015) · 2015
Cited alongside, same era.
Estimating the marginal likelihood with integrated nested Laplace approximation (INLA)
Hubin, A. and Storvik, G. (2016) · 2016
Cited alongside, same era.
Monitoring count time series in R: Aberration detection in public health surveillance
Salmon, M., Schumacher, D., and Höhle, M. (2016) · 2016
Cited alongside, same era.
Quasi-complete separation in random effects of binary response mixed models
Sauter, R. and Held, L. (2016) · 2016
Cited alongside, same era.
Prevmap: An r package for prevalence mapping
Giorgi, E. and Diggle, P. (2017) · 2017
Cited alongside, same era.
Bakka, H., Rue, H., Fuglstad, G.-A., Riebler, A., Bolin, D., Illian, J., Krainski, E., Simpson, D., and Lindgren, F. (2018) · 2018
Later among the works it cites.
Fast bayesian classification for disease mapping and the detection of disease clusters
Gómez-Rubio, V., Molitor, J., and Moraga, P. (2018) · 2018
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Markov chain Monte Carlo with the integrated nested Laplace approximation
Gómez-Rubio, V. and Rue, H. (2018) · 2018
Later among the works it cites.
A design-by-treatment interaction model for network meta-analysis and meta-regression with integrated nested Laplace approximations
Guenhan, B. K., Friede, T., and Held, L. (2018) · 2018
Later among the works it cites.
meta4diag: Bayesian bivariate meta-analysis of diagnostic test studies for routine practice
Guo, J. and Riebler, A. (2018) · 2018
Later among the works it cites.
Multivariate posterior inference for spatial models with the integrated nested Laplace approximation
Gómez-Rubio, V. and Palmí-Perales, F. (2019) · 2019
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Spatial modeling with incomplete data location information
Wilson, K. and Wakefield, J. (2019) · 2019
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