| Central limit theorems for multiple stochastic integrals and Malliavin calculus (2007) | |||||||||
Abstract | |||||||||
| We give a new characterization for the convergence in distribution to a standard normal law of a sequence of multiple stochastic integrals of a fixed order with variance one, in terms of the Malliavin derivatives of the sequence. We extend our result to the multidimensional case and prove a weak convergence result for a sequence of square integrable random variables.. Comment: 16 pages | |||||||||
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