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

Mathematics

Mabel Morales-Otero¹  Vicente Núñez-Antón¹ 

[1] Department of Quantitative Methods, Faculty of Economics and Business, University of the Basque Country UPV/EHU, 48015 Bilbao, Spain;

关键词: Bayesian models;    count data;    infant mortality rates;    INLA;    MCMC;    spatial statistics;   

DOI  :  10.3390/math9030282

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown