Université Paul Sabatier Toulouse

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

Identification and properties of Moving Average Fractional Lévy Motions.

Albert Benassi, Serge Cohen and Jacques Istas

Code(s) de Classification MSC:

Résumé: In this article the class of Moving Average Fractional Lévy Motions is introduced. This class is built from the Fractional Brownian Motion. The asymptotic self-similary and the smoothness of the paths of these fields are studied, and they are compared to Real Harmonizable Fractional Lévy Motions.

Mots Clés: Identification, Local Asymptotic Self Similarity, Second order fields, Stable fields.

Date: 2001-12-20

Prépublication numéro: LSP-2001-15