URV's Author/s: Mateu-Figueras, Glòria Martín-Fernández, Josep Antoni Comas-Cufí, Marc

Keywords: Compositional data, Finite Mixture, Log ratio, Model-based clustering, Normal distribution, Orthonormal coordinates, Simplex

Abstract: When traditional methods are applied to compositional data misleading and incoherent results could be obtained. Finite mixtures of multivariate distributions are becoming increasingly important nowadays. In this paper, traditional strategies to fit a mixture model into compositional data sets are revisited and the major difficulties are detailed. A new proposal using a mixture of distributions defined on orthonormal log-ratio coordinates is introduced. A real data set analysis is presented to illustrate and compare the different methodologies.

Journal publication year: 2016

Publication Type: info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article