Poverty is a complex and multidimensional problem so that it becomes a development priority. Applications of poverty modeling in discrete data are still few and applications of the Bayesian paradigm are also still few.
Retsi Firda Maulina +2 more
doaj +4 more sources
Markov chain Monte Carlo with the Integrated Nested Laplace Approximation [PDF]
The Integrated Nested Laplace Approximation (INLA) has established itself as a widely used method for approximate inference on Bayesian hierarchical models which can be represented as a latent Gaussian model (LGM). INLA is based on producing an accurate approximation to the posterior marginal distributions of the parameters in the model and some other ...
Virgilio Gómez-Rubio, Håvard Rue
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Importance Sampling with the Integrated Nested Laplace Approximation [PDF]
The Integrated Nested Laplace Approximation (INLA) is a deterministic approach to Bayesian inference on latent Gaussian models (LGMs) and focuses on fast and accurate approximation of posterior marginals for the parameters in the models. Recently, methods have been developed to extend this class of models to those that can be expressed as conditional ...
Martin Outzen Berild +3 more
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Fitting double hierarchical models with the integrated nested Laplace approximation [PDF]
AbstractDouble hierarchical generalized linear models (DHGLM) are a family of models that are flexible enough as to model hierarchically the mean and scale parameters. In a Bayesian framework, fitting highly parameterized hierarchical models is challenging when this problem is addressed using typical Markov chain Monte Carlo (MCMC) methods due to the ...
Mabel Morales-Otero +2 more
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The Integrated Nested Laplace Approximation for Fitting Dirichlet Regression Models [PDF]
This paper introduces a Laplace approximation to Bayesian inference in Dirichlet regression models, which can be used to analyze a set of variables on a simplex exhibiting skewness and heteroscedasticity, without having to transform the data. These data, which mainly consist of proportions or percentages of disjoint categories, are widely known as ...
Joaquín Martínez-Minaya +4 more
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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
doaj +2 more sources
Fitting complex ecological point process models with integrated nested Laplace approximation [PDF]
Summary We highlight an emerging statistical method, integrated nested Laplace approximation ( INLA ), which is ideally suited for fitting complex models to many of the rich spatial data ...
Illian, Janine Baerbel +6 more
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Multivariate Posterior Inference for Spatial Models with the Integrated Nested Laplace Approximation
SummaryThe integrated nested Laplace approximation (INLA) is a convenient way to obtain approximations to the posterior marginals for parameters in Bayesian hierarchical models when the latent effects can be expressed as a Gaussian Markov random field. In addition, its implementation in the R-INLA package for the R statistical software provides an easy
Gómez-Rubio, Virgilio +1 more
semanticscholar +3 more sources
Trend of malaria parasites infection in Ethiopia along an international border: a Bayesian spatio-temporal study [PDF]
Background Malaria is a major worldwide health concern that impacts many individuals worldwide. P. falciparum is Africa’s main malaria cause. However, P.
Changkuoth Jock Chol +3 more
doaj +2 more sources
Validating a Bayesian Spatio-Temporal Model to Predict La Crosse Virus Human Incidence in the Appalachian Mountain Region, USA [PDF]
La Crosse virus (LACV) is a rare cause of pediatric encephalitis, yet identifying and mitigating transmission foci is critical to detecting additional cases.
Maggie McCarter +6 more
doaj +2 more sources

