[Forum SIS] Politecnico di Milano - Seminario J. J. Egozcue and V. Pawlowsky-Glahn

Laura M. Sangalli laura.sangalli a polimi.it
Mer 4 Mar 2015 17:56:12 CET


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 at polimi.it
url: http://mox.polimi.it/~sangalli

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