Numerical schemes for $G$--Expectations

Yan Dolinsky

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arXiv · 1109.3430

Numerical schemes for $G$--Expectations

Yan Dolinsky

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Abstract

We consider a discrete time analog of $G$--expectations and we prove that in the case where the time step goes to 0 the corresponding values converge to the original $G$--expectation. Furthermore we provide error estimates for the convergence rate. This paper is continuation of [4]. Our main tool is a strong approximation theorem which we derive for general discrete time martingales.

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Yan Dolinsky. 2011-09-15. Numerical schemes for $G$--Expectations. https://arxiv.org/abs/1109.3430

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