Abstract
In this paper we develop a stochastic calculus with respect to a Gaussian process of the form $B_t = \int^t_0 K(t, s)\, dW_s$, where $W$ is a Wiener process and $K(t, s)$ is a square integrable kernel, using the techniques of the stochastic calculus of variations. We deduce change-of-variable formulas for the indefinite integrals and we study the approximation by Riemann sums.The particular case of the fractional Brownian motion is discussed.
Citation
Elisa Alòs. Olivier Mazet. David Nualart. "Stochastic Calculus with Respect to Gaussian Processes." Ann. Probab. 29 (2) 766 - 801, April 2001. https://doi.org/10.1214/aop/1008956692
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