[Forum SIS] Seminario Fabio Divino venerdì 22 Aprile Roma Sapienza

[giovanna jona lasinio]

Il giorno 22 Aprile 2016 alle ore 11:30, presso la sala 34 del Dipartimento
di Scienze Statistiche il prof. Fabio Divino dell'università del Molise
terrà il seguente seminario

Empirical Bayes Estimation of Multivariate Discrete

Probability Distributions with Overdispersion



Fabio Divino,

Division of Physics Computer Science and Mathematics,

University of Molise (Italy)





Abstract. In this talk some preliminary results in Bayesian inference of
multivariate discrete distributions are presented. In particular, an
empirical Bayesian approach is considered through the use of the
Dirichlet-Multinomial compound model. The idea of compound models is back
to the beginning of the 1900 and it concerns the possibility to compound a
model of interest M0(X;T), depending on some parameter T, with a mixing
probability measure Ha(T) on T, depending on a parameter a. In this way,
the mixture resulting by the integration of M0 respect to Ha generates a
new model M1(X; a) that allows for the possibility of including larger
variation for the variable X than in M0. A typical application of this
approach is the well known Gamma-Poisson compound model that generates the
Negative Binomial model. In this talk we present the use of the
Dirichlet-Multinomial model in order to estimate the probability
distribution of an overdispersed multivariate discrete random variable X.
Some results of simulations will compare the Dirichlet-Multinomial model
with the reference Multinomial model. Further, some applications in
biodiversity monitoring will be presented.



The work is part of a joint research with Salme Kärkkäinen, Johanna Ärje
and Antti Penttinen (University of Jyväskylä) and Kristian Meissner (SYKE,
Jyväskylä).




Per informazioni contattare Giovanna Jona Lasinio
giovanna.jonalasinio at uniroma1.it
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