Bayesian-multiplicative treatment of count zeros in compositional data sets

• Published in: Statistical modelling Vol. 15; no. 2; pp. 134 - 158
• Main Authors: Martín-Fernández, Josep-Antoni, Hron, Karel, Templ, Matthias, Filzmoser, Peter, Palarea-Albaladejo, Javier
• Format: Journal Article
• Language: English
• Published: New Delhi, India SAGE Publications 01.04.2015; Sage Publications Ltd
• Subjects: Applied mathematics; Bayesian analysis; Computer science; Datasets; Dirichlet problem; Geometry; Statistical methods; Studies; log-ratio transformations; posterior estimate; zero replacement; discrete composition; Dirichlet distribution

Compositional count data are discrete vectors representing the numbers of outcomes falling into any of several mutually exclusive categories. Compositional techniques based on the log-ratio methodology are appropriate in those cases where the total sum of the vector elements is not of interest. Such...