Estimating Spatial Econometrics Models with Integrated Nested Laplace Approximation

The integrated nested Laplace approximation (INLA) provides a fast and effective method for marginal inference in Bayesian hierarchical models. This methodology has been implemented in the <b>R-INLA</b> package which permits INLA to be used from within R statistical software. Although IN...

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Bibliographic Details
Main Authors: Virgilio Gómez-Rubio, Roger S. Bivand, Håvard Rue
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/17/2044
Description
Summary:The integrated nested Laplace approximation (INLA) provides a fast and effective method for marginal inference in Bayesian hierarchical models. This methodology has been implemented in the <b>R-INLA</b> package which permits INLA to be used from within R statistical software. Although INLA is implemented as a general methodology, its use in practice is limited to the models implemented in the <b>R-INLA</b> package. Spatial autoregressive models are widely used in spatial econometrics but have until now been lacking from the <b>R-INLA</b> package. In this paper, we describe the implementation and application of a new class of latent models in INLA made available through <b>R-INLA</b>. This new latent class implements a standard spatial lag model. The implementation of this latent model in <b>R-INLA</b> also means that all the other features of INLA can be used for model fitting, model selection and inference in spatial econometrics, as will be shown in this paper. Finally, we will illustrate the use of this new latent model and its applications with two data sets based on Gaussian and binary outcomes.
ISSN:2227-7390