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