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

Abstract

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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References in corpus (6)

• Some properties on $G$-evaluation and its applications to $G$-martingale decomposition
• A New Central Limit Theorem under Sublinear Expectations
• G-Brownian Motion and Dynamic Risk Measure under Volatility Uncertainty
• Nonlinear Expectations and Stochastic Calculus under Uncertainty
• Properties of hitting times for $G$-martingale
• Uniqueness of the representation for $G$-martingales with finite variation