notes on the scaled dirichlet distribution

Authors: MONTI, GIANNA SERAFINA, Mateu Figueras, G, Pawlowsky Glahn, V.

Subject Terms: compositional data, Aitchison geometry, Aitchison geometry, a scaled Dirichlet distribution-perturbing the Dirichlet one, Bayesian inference, and Dirichlet distribution-natural conjugate prior for multinomial likelihood, Compositional data-definition parts of some whole, Dirichlet distribution, exhibiting-maximum form of independence compatible with unit sum constraint, Genesis of scaled Dirichlet distribution-best known distribution, for categorical data modelling, Measures of location and variability-and mode of Dirichlet distribution, Membership in exponential family-densities of multidimensional exponential families, Notes on the scaled Dirichlet distribution, Properties of scaled Dirichlet distribution-probabilistic properties, classical and Aitchison representations, Special algebraic-geometric structure of simplex-scaled Dirichlet density, translation of a Dirichlet density

Access URL: https://onlinelibrary.wiley.com/doi/pdf/10.1002/9781119976462.ch10
https://boa.unimib.it/handle/10281/22162