Comptes Rendus
no. 9-10
Probability Theory
Cumulant operators and moments of the Itô and Skorohod integrals
[Opérateurs cumulants et moments des intégrales dʼItô et de Skorohod]

Présenté par : the Editorial Board

Nicolas Privault1
1 Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, 637371, Singapore
Comptes Rendus. Mathématique, Volume 351 (2013) no. 9-10, pp. 397-400.

Nous proposons une formule de calcul des moments dʼintégrales dʼItô et de Skorohod par rapport au mouvement brownien à lʼaide dʼopérateurs cumulants définis par le calcul de Malliavin. On retrouve ainsi certaines caractérisations de la loi gaussienne pour les intégrales stochastiques.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.05.014

Nicolas Privault 1

1 Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, 637371, Singapore 
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Nicolas Privault. Cumulant operators and moments of the Itô and Skorohod integrals. Comptes Rendus. Mathématique, Volume 351 (2013) no. 9-10, pp. 397-400. doi : 10.1016/j.crma.2013.05.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.05.014/

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