This contribution presents two Bayesian procedures - both based on Gibbs sampling - in order to estimate the parameters of the Flexible Dirichlet (Ongaro & Migliorati, 2013), a distribution for compositional data (i.e. data whose support is the simplex). This distribution can fit data better than the classical Dirichlet distribution, thanks to its mixture structure and additional parameters that allow for a more flexible modeling of the covariance matrix. A simulation study has been conducted in order to evaluate the performances of the proposed estimation algorithms in several parameters configuration. Data are generated from a Flexible Beta, the univariate version of the Flexible Dirichlet distribution.

Ascari, R., Migliorati, S., Ongaro, A. (2017). A special Dirichlet mixture model in a Bayesian perspective. In Cladag 2017 Book of Short Papers (pp.1-6). Universitas Studiorum.

A special Dirichlet mixture model in a Bayesian perspective

ASCARI, ROBERTO
;
Migliorati, S;Ongaro, A
2017

Abstract

This contribution presents two Bayesian procedures - both based on Gibbs sampling - in order to estimate the parameters of the Flexible Dirichlet (Ongaro & Migliorati, 2013), a distribution for compositional data (i.e. data whose support is the simplex). This distribution can fit data better than the classical Dirichlet distribution, thanks to its mixture structure and additional parameters that allow for a more flexible modeling of the covariance matrix. A simulation study has been conducted in order to evaluate the performances of the proposed estimation algorithms in several parameters configuration. Data are generated from a Flexible Beta, the univariate version of the Flexible Dirichlet distribution.
paper
Compositional Data, Dirichlet Mixture, Bayesian Estimation, MCMC
English
CLADAG Scientific Meeting of the CLAssification and Data Analysis Group of SIS
2017
Greselin,F; Mola, F; Zenga, M
Cladag 2017 Book of Short Papers
9788899459710
2017
1
6
https://books.google.it/books?id=AI84DwAAQBAJ&pg=PT384&hl=it&source=gbs_toc_r&cad=3#v=onepage&q&f=false
none
Ascari, R., Migliorati, S., Ongaro, A. (2017). A special Dirichlet mixture model in a Bayesian perspective. In Cladag 2017 Book of Short Papers (pp.1-6). Universitas Studiorum.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/186542
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