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Autore
Nieto-Barajas, Luis E.

Titolo
Dependence on a collection of Poisson random variables
Periodico
Statistical methods & applications : Journal of the Italian Statistical Society
Anno: 2022 - Volume: 31 - Fascicolo: 1 - Pagina iniziale: 21 - Pagina finale: 39

We propose two novel ways of introducing dependence among Poisson counts through the use of latent variables in a three levels hierarchical model. Marginal distributions of the random variables of interest are Poisson with strict stationarity as special case. Order–p dependence is described in detail for a temporal sequence of random variables. A full Bayesian inference of the models is described and performance of the models is illustrated with a numerical analysis of maternal mortality in Mexico. Extensions to seasonal, periodic, spatial or spatio-temporal dependencies, as well as coping with overdispersion, are also discussed.



SICI: 1618-2510(2022)31:1<21:DOACOP>2.0.ZU;2-O

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