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Properties of hitting times for G-martingale

2010/01/27 by Song, Yongsheng
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1001.4907

Abstract

In this article, we consider the properties of hitting times for G-martingale and the stopped processes. We prove that the stopped processes for G-martingales are still G-martingales and that the hitting times for a class of G-martingales including G-Brownian motion are quasi-continuous. As an application, we improve the G-martingale representation theorems in [Song10].

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