Resumen de Changing the reference measure in the simplex and its weighting effects

Juan José Egozcue Rubí , Vera Pawlowsky Glahn

• 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.