Changing the reference measure in the simplex and its weighting effects

• Autores: Juan José Egozcue Rubí , Vera Pawlowsky Glahn
• Localización: Proceedings of the 6th International Workshop on Compositional Data Analysis: Girona, 1-7 de juny de 2015 / coord. por Santiago Thió Fernández de Henestrosa , Josep Antoni Martín Fernández, 2015, ISBN 978-84-8458-451-3
• Idioma: inglés
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• Resumen

  • Standard analysis of compositional data under the assumption that the Aitchison geometry holds assumes a uniform distribution as reference measure of the space. Weighting of parts can be done changing the reference measure. The changes that appear in the algebraic-geometric structure of the simplex are analysed, as a step towards understanding the implications for elementary statistics of random compositions.