Si avvisa che in data 31-03-2015, alle ore 11:00 precise, presso l'Aula Seminari "F. Saleri" VI piano - Dipartimento di Matematica, Politecnico di Milano, nell'ambito delle iniziative MOX, si svolgerà il seguente seminario: Relatori: J. J. Egozcue, Dept. Matematica Aplicada III, U. Politecnica de Catalunya, Barcelona, Spain e V. Pawlowsky-Glahn, Dept. Informatica, Matematica Aplicada i Estadistica, U. de Girona, Spain Titolo: Understanding Bayes spaces Abstract: Bayes spaces contain equivalence classes of sigma-additive measures. Two measures are equivalent when they are proportional. These measures are represented by densities and vector space operations are defined. Probability measures and density functions are included in these spaces. When the densities are log-square-integrable, they are in a Hilbert space called B^2. Bayes spaces and associated Hilbert spaces B^2 have been developed in a theoretical way, but there is still a long way to understand the implications of the theory, as well as to develop potential applications. The talk is aimed at reviewing the theory and giving some examples of distributions for which the B^2 distance can be easily obtained. These examples show the variety of distribution supports that can be dealt with the theory. An application to grain size distribution is presented. The goal is to decide whether different populations have different mean distribution. Tutti gli interessati sono invitati a partecipare. Cordiali saluti, Laura Sangalli -- Laura Maria Sangalli MOX - Dipartimento di Matematica Politecnico di Milano Piazza Leonardo da Vinci 32 20133 Milano - Italy tel: +39 02 2399 4554 fax: +39 02 2399 4568 email: laura.sangalli@polimi.it url: http://mox.polimi.it/~sangalli