Add to ORKGThe algebraic-geometric structure of the simplex, known as Aitchison geometry, is usedto look at the Dirichlet family of distributions from a new perspective. A classicalDirichlet density function is expressed with respect to the Lebesgue measure on realspace. We propose here to change this measure by the Aitchison measure on thesimplex, and study some properties and characteristic measures of the resulting densityGeologische Vereinigung; Institut d’Estadística de Catalunya; International Association for Mathematical Geology; Patronat de l’Escola Politècnica Superior de la Universitat de Girona; Fundació privada: Girona, Universitat i Futur; Càtedra Lluís Santaló d’Aplicacions de la Matemàtica; Consell Social de la Universitat de Girona; Mi...
A Dirichlet polynomial d in one variable y is a function of the form d(y)=anny+⋯+a22y+a11y+a00y for ...
The Dirichlet family owes its privileged status within simplex distributions to easynessof interpret...
Depth functions give information not only on the location but also on the dispersion of probability ...
The algebraic-geometric structure of the simplex, known as Aitchison geometry, is used to look at t...
Perturbation and powering are two operations in the simplex that define a vector-space structure. Pe...
Perturbation and powering are two operations in the simplex that define a vector-space structure. P...
Perturbation and powering are two operations in the simplex that define a vector-space structure. P...
In the course, since we are still introducing some concepts of dependent distributions, we will talk...
The Aitchison vector space structure for the simplex is generalized to a Hilbert space structure A2(...
This vignette is based on Hankin (2010). It discusses a generalization of the Dirichlet distribution...
Compositional data analysis motivated the introduction of a complete Euclidean structure in the simp...
The Aitchison vector space structure for the simplex is generalized to a Hilbert space structure A2(...
In the present paper we define and investigate a novel class of distributions on the simplex, termed...
AbstractJ. N. Darroch and D. Ratcliff (J. Amer. Statist. Assoc. 66 (1971), 641–643) have given a cha...
This paper discusses a generalization of the Dirichlet distribution, the 'hyperdirichlet', in which ...
A Dirichlet polynomial d in one variable y is a function of the form d(y)=anny+⋯+a22y+a11y+a00y for ...
The Dirichlet family owes its privileged status within simplex distributions to easynessof interpret...
Depth functions give information not only on the location but also on the dispersion of probability ...
The algebraic-geometric structure of the simplex, known as Aitchison geometry, is used to look at t...
Perturbation and powering are two operations in the simplex that define a vector-space structure. Pe...
Perturbation and powering are two operations in the simplex that define a vector-space structure. P...
Perturbation and powering are two operations in the simplex that define a vector-space structure. P...
In the course, since we are still introducing some concepts of dependent distributions, we will talk...
The Aitchison vector space structure for the simplex is generalized to a Hilbert space structure A2(...
This vignette is based on Hankin (2010). It discusses a generalization of the Dirichlet distribution...
Compositional data analysis motivated the introduction of a complete Euclidean structure in the simp...
The Aitchison vector space structure for the simplex is generalized to a Hilbert space structure A2(...
In the present paper we define and investigate a novel class of distributions on the simplex, termed...
AbstractJ. N. Darroch and D. Ratcliff (J. Amer. Statist. Assoc. 66 (1971), 641–643) have given a cha...
This paper discusses a generalization of the Dirichlet distribution, the 'hyperdirichlet', in which ...
A Dirichlet polynomial d in one variable y is a function of the form d(y)=anny+⋯+a22y+a11y+a00y for ...
The Dirichlet family owes its privileged status within simplex distributions to easynessof interpret...
Depth functions give information not only on the location but also on the dispersion of probability ...