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Stochastic Integrals: Simulation and Approximation

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Part of the book series: Probability Theory and Stochastic Modelling ((PTSM,volume 85))

Abstract

Methods for the simulations and approximation of stochastic integrals are given for Wiener processes, Ornstein-Uhlenbeck processes, fractional Brownian motions and Poisson processes. A method for calculating a finer approximation of the same sample path of a Winer process based on the Lévy construction is presented.

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Correspondence to Xiaoying Han .

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© 2017 Springer Nature Singapore Pte Ltd.

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Han, X., Kloeden, P.E. (2017). Stochastic Integrals: Simulation and Approximation. In: Random Ordinary Differential Equations and Their Numerical Solution. Probability Theory and Stochastic Modelling, vol 85. Springer, Singapore. https://doi.org/10.1007/978-981-10-6265-0_14

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