Mi scuso per l'errore del cognome nel precedente messaggio
Giovanna Nappo
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From: "Nappo, Giovanna" <nappo(a)mat.uniroma1.it>
Date: Mon, 17 Jul 2017 13:38:50 +0200
Subject: Seminario Elena Bernardini a ROMA 1, 20 luglio 2017
To: random <random(a)fields.dm.unipi.it>
SEMINARI DI PROBABILITA' E STATISTICA MATEMATICA
DIPARTIMENTO DI MATEMATICA Guido Castelnuovo
Università di Roma "La Sapienza"
Piazzale A. Moro 5 . 00185 ROMA
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Giovedì 20 luglio 2017, Ore 11,30 Aula di Consiglio
Elena Di Bernardino
CNAM, Paris (FRANCE)
A test of Gaussianity based on the Euler characteristic of excursion sets
Abstract: We deal with a stationary isotropic random field X:R^d→R and
we assume it is partially observed through some level functionals. We
aim at providing a methodology for a test of Gaussianity based on this
information. More precisely, the level functionals are given by the
Euler characteristic of the excursion sets above a finite number of
levels. On the one hand, we study the properties of these level
functionals under the hypothesis that the random field X is Gaussian.
In particular, we focus on the mapping that associates to any level u
the expected Euler characteristic of
the excursion set above level u. On the other hand, we study the same
level functionals under alternative distributions of X, such as
chi-square, harmonic oscillator and shot noise. In order to validate
our methodology, a part of the work consists in numerical
experimentations. We generate Monte-Carlo samples of Gaussian and
non-Gaussian random fields and compare, from a statistical point of
view, their level functionals.
Goodness-of-fit p−values are displayed for both cases. Simulations
are performed in one dimensional case (d=1) and in two dimensional
case (d=2), using R.
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Giovanna Nappo