Stein approximation for Ito and Skorohod integrals by Edgeworth type expansions

We derive Edgeworth-type expansions for Skorohod and Itô integrals with respect to Brownian motion, based on cumulant operators defined by the Malliavin calculus. As a consequence we obtain Stein approximation bounds for stochastic integrals, which apply to SDE solutions and to multiple stochastic i...

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Bibliographic Details
Main Author: Privault, Nicolas
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2015
Subjects:
Online Access:https://hdl.handle.net/10356/80940
http://hdl.handle.net/10220/39028
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Institution: Nanyang Technological University
Language: English