G. Mateu-Figueras, G. S. Monti, V. Pawlowsky-Glahn, J. J. Egozcue

In the analysis of random compositions, we have a limited number of families of distributions to model random vectors constrained to the simplex. The two most commonly used families are the Dirichlet distribution and its generalizations, derived from perturbation and power transformation on the simplex, and the logratio-normal family, also known as the normal on the simplex or the logistic normal distribution.
In this presentation, we introduce a new family of distributions on the unit simplex using the multivariate t-Student model, which we refer to as the logratio t-Student distribution. We explore its representation through the algebraic-geometric structure of the simplex and examine its main properties while considering the Aitchison measure. Furthermore, we establish its connection with the previously introduced additive logistic t model. Finally, we present an application using a real data set and we analyse its relationship with the atypicality index for detecting outliers.

Keywords: Multivariate t-Student distribution, compositional data, orthonormal basis,

Scheduled

Análisis Multivariante
June 12, 2025  7:00 PM
MR 1


Other papers in the same session

Advancing Compositional Data Analysis: The L1-CoDa Norm

J. Saperas Riera, G. Mateu Figueras, J. A. Martín Fernández

Análisis de Datos Acoplados mediante el Modelo Tucker3-PCA

E. Frutos Bernal, E. Ceulemans, P. Galindo-Villardón, T. Wilderjans

Non-parametric testing of differences between groups in compositional data sets

J. Palarea-Albaladejo, N. Štefelová, J. A. Martín-Fernández


Cookie policy

We use cookies in order to be able to identify and authenticate you on the website. They are necessary for the correct functioning of it, and therefore they can not be disabled. If you continue browsing the website, you are agreeing with their acceptance, as well as our Privacy Policy.

Additionally, we use Google Analytics in order to analyze the website traffic. They also use cookies and you can accept or refuse them with the buttons below.

You can read more details about our Cookie Policy and our Privacy Policy.