Path properties of a class of locally asymptotically self similar processes
Brahim Boufoussi, Cadi Ayyad University
Marco E. Dozzi, Nancy University
Raby Guerbaz, Cadi Ayyad University
Abstract
Various paths properties of a stochastic process are obtained under mild conditions which allow for the integrability of the characteristic function of its increments and for the dependence among them. The main assumption is closely related to the notion of local asymptotic self-similarity. New results are obtained for the class of multifractional random processes.
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