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Cumulant operators and moments of the Itô and Skorohod integrals.

Authors :
Privault, Nicolas
Source :
Comptes Rendus. Mathématique. May2013, Vol. 351 Issue 9/10, p397-400. 4p.
Publication Year :
2013

Abstract

Abstract: We propose a formula for the computation of the moments of all orders of Itô and Skorohod stochastic integrals with respect to Brownian motion, based on cumulant operators defined by the Malliavin calculus. Some characterizations of Gaussian distributions for stochastic integrals are recovered as a consequence. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
1631073X
Volume :
351
Issue :
9/10
Database :
Academic Search Index
Journal :
Comptes Rendus. Mathématique
Publication Type :
Academic Journal
Accession number :
89137321
Full Text :
https://doi.org/10.1016/j.crma.2013.05.014