Location of Repository

Stopping times and related Itô's calculus with G-Brownian motion

By Xinpeng Li and Shige Peng

Abstract

Under the framework of G-expectation and G-Brownian motion, we introduce Itô's integral for stochastic processes without assuming quasi-continuity. Then we can obtain Itô's integral on stopping time interval. This new formulation permits us to obtain Itô's formula for a general C1,2-function, which essentially generalizes the previous results of Peng (2006, 2008, 2009, 2010, 2010) [21], [22], [23], [24] and [25] as well as those of Gao (2009) [8] and Zhang et al. (2010) [27].G-Brownian motion Stopping time Ito's integral Ito's formula

OAI identifier:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://www.sciencedirect.com/s... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.