Université Paul Sabatier Toulouse

CNRS U.M.R. C5583
Laboratoire de Statistique et Probabilités

>Regularity and identification of generalized multifractional gaussian processes

Auteur(s):Antoine Ayache, Albert Benassi, Serge Cohen et Jacques Levy Vehel

Code(s) de Classification MSC:

Résumé: In this article a class of multifractional processes is introduced, called generalized multifractional gaussian processes (GPMP). For such multifractional models, the hurst exponent of the celebrated fractional brownian motion is replaced by a function, called the multifractional function, which may be irregular. The main aim of this paper is to show how to identify irregular multifractional functions are also given.

Mots Clés: gaussian processes, identification, multifractional function

Date: 2000-09-18

Prépublication numéro: LSP-2002-10