Numerical schemes for G-expectations

Yan Dolinsky

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5 Citations (Scopus)

Abstract

We consider a discrete time analog of G-expectations and we prove that in the case where the time step goes to zero the corresponding values converge to the original G- expectation. Furthermore we provide error estimates for the convergence rate. This paper is continuation of Dolinsky, Nutz, and Soner (2012). Our main tool is a strong approximation theorem which we derive for general discrete time martingales.

Original languageEnglish
Number of pages15
JournalElectronic Journal of Probability
Volume17
DOIs
Publication statusPublished - 2012
Externally publishedYes

Keywords

  • G-expectations
  • Strong approximation theorems
  • Volatility uncertainty

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