Autore
Nieto-Barajas, Luis E.Titolo
Dependence on a collection of Poisson random variablesPeriodico
Statistical methods & applications : Journal of the Italian Statistical SocietyAnno:
2022 - Volume:
31 - Fascicolo:
1 - Pagina iniziale:
21 - Pagina finale:
39We 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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