*Martedi' 14 Aprile 2015*, *ore 14:00*

Consiglio Nazionale delle Ricerche, Istituto per le Applicazioni del Calcolo "Mauro Picone", Via dei Taurini 19, 00185 Roma

Aula Riunioni (II piano)

*CLAUDIO DURASTANTI * (Universita' di Roma Tor Vergata)

terra' un seminario dal titolo

*Normal approximations of linear and nonlinear statistics over the sphere.*

ABSTRACT:

Our aim is to study quantitative central limit theorems for some linear and nonlinear statistics based on wavelet coefficients evaluated on spherical Poisson processes of arbitrary dimension. This purpose is attained by merging the Stein-Malliavin approach (introduced in the seminal paper by Peccati, Solè, Taqqu and Utzet (2010)) and the properties of the needlets, wavelets over the q-dimensional sphere featuring strong concentration properties in the spatial and frequency domains, introduced in literature by Narcowich, Petrushev, Ward (2006). We will also discuss some examples: the thresholding and the study of variance in nonparametric density estimation framework and the so- called Sobolev tests for uniformity. This is a joint work with Solesne Bourguin, Domenico Marinucci and Giovanni Peccati.

Tutti gli interessati sono invitati a partecipare.

Cordiali saluti,

Giovanni Luca Torrisi.