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Comparing Bayesian Spatial Conditional Overdispersion and the Besag–York–Mollié Models: Application to Infant Mortality Rates

Author

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  • Mabel Morales-Otero

    (Department of Quantitative Methods, Faculty of Economics and Business, University of the Basque Country UPV/EHU, 48015 Bilbao, Spain
    These authors contributed equally to this work.)

  • Vicente Núñez-Antón

    (Department of Quantitative Methods, Faculty of Economics and Business, University of the Basque Country UPV/EHU, 48015 Bilbao, Spain
    These authors contributed equally to this work.
    Current address: Avenida Lehendakari Aguirre 83, 48015 Bilbao, Spain.)

Abstract

In this paper, we review overdispersed Bayesian generalized spatial conditional count data models. Their usefulness is illustrated with their application to infant mortality rates from Colombian regions and by comparing them with the widely used Besag–York–Mollié (BYM) models. These overdispersed models assume that excess of dispersion in the data may be partially caused from the possible spatial dependence existing among the different spatial units. Thus, specific regression structures are then proposed both for the conditional mean and for the dispersion parameter in the models, including covariates, as well as an assumed spatial neighborhood structure. We focus on the case of response variables following a Poisson distribution, specifically concentrating on the spatial generalized conditional normal overdispersion Poisson model. Models were fitted by making use of the Markov Chain Monte Carlo (MCMC) and Integrated Nested Laplace Approximation (INLA) algorithms in the specific context of Bayesian estimation methods.

Suggested Citation

  • Mabel Morales-Otero & Vicente Núñez-Antón, 2021. "Comparing Bayesian Spatial Conditional Overdispersion and the Besag–York–Mollié Models: Application to Infant Mortality Rates," Mathematics, MDPI, vol. 9(3), pages 1-33, January.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:3:p:282-:d:490519
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    References listed on IDEAS

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