Central limit theorems for multiple Skorohod integrals

نویسنده

  • Ivan Nourdin
چکیده

In this paper, we prove a central limit theorem for a sequence of multiple Skorohod integrals using the techniques of Malliavin calculus. The convergence is stable, and the limit is a conditionally Gaussian random variable. Some applications to sequences of multiple stochastic integrals, and renormalized weighted quadratic variation of the fractional Brownian motion are discussed.

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تاریخ انتشار 2008