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arxiv: 1009.0109 · v2 · pith:4NDOIMRFnew · submitted 2010-09-01 · 🧮 math.PR

Characterizations of processes with stationary and independent increments under G-expectation

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keywords brownianexpectationincrementsindependentmotionprocessesstationaryunder
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Our purpose is to investigate properties for processes with stationary and independent increments under $G$-expectation. As applications, we prove the martingale characterization to $G$-Brownian motion and present a decomposition for generalized $G$-Brownian motion.

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