Malliavin-Stein method for variance-gamma approximation on Wiener space

@article{Eichelsbacher2014MalliavinSteinMF,
title={Malliavin-Stein method for variance-gamma approximation on Wiener space},
author={P. Eichelsbacher and Christoph Thale},
journal={Electronic Journal of Probability},
year={2014},
volume={20},
pages={1-28}
}
• Published 2014
• Mathematics
• Electronic Journal of Probability
We combine Malliavin calculus with Stein's method to derive bounds for the Variance-Gamma approximation of functionals of isonormal Gaussian processes, in particular of random variables living inside a fixed Wiener chaos induced by such a process. The bounds are presented in terms of Malliavin operators and norms of contractions. We show that a sequence of distributions of random variables in the second Wiener chaos converges to a Variance-Gamma distribution if and only if their moments of… Expand

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