The flexible Dirichlet distribution proposed in Ongaro and Migliorati (JMA, 2013) allows to preserve many mathematical and compositional properties of the Dirichlet without inheriting its lack of flexibility in modeling the various independence concepts appropriate for compositional data (simplicial independences). The present paper introduces a new model on the simplex which generalizes the flexible Dirichlet and which, in particular, addresses the issue of modeling the dependence between the size of the basis and the composition.

Ongaro, A., Migliorati, S. (2013). A new mixture model for composition and size. In Advances in Latent Variables. Milan : Vita e Pensiero.

A new mixture model for composition and size

ONGARO, ANDREA;MIGLIORATI, SONIA
2013

Abstract

The flexible Dirichlet distribution proposed in Ongaro and Migliorati (JMA, 2013) allows to preserve many mathematical and compositional properties of the Dirichlet without inheriting its lack of flexibility in modeling the various independence concepts appropriate for compositional data (simplicial independences). The present paper introduces a new model on the simplex which generalizes the flexible Dirichlet and which, in particular, addresses the issue of modeling the dependence between the size of the basis and the composition.
No
paper
Scientifica
Dirichlet mixture, clusters, compositional invariance, basis size
English
SIS 2013 Statistical Conference, Advances in Latent Variables - Methods, Models and Applications
978 88 343 2556 8
http://meetings.sis-statistica.org/index.php/sis2013/ALV/schedConf/presentations
Ongaro, A., Migliorati, S. (2013). A new mixture model for composition and size. In Advances in Latent Variables. Milan : Vita e Pensiero.
Ongaro, A; Migliorati, S
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/44965
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