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Dynkin's formula under the G-expectation

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  • Chen, Xiaoyan

Abstract

In 2006, Peng introduced a new kind of nonlinear expectation--G-expectation (see Peng, 2006). And he also established a theory of stochastic calculus under the G-expectation (see [4], [5] and [7]). In this paper, we will prove a nonlinear Dynkin's formula when the generator of a G-Itô's diffusion is well defined in the framework of the G-expectation.

Suggested Citation

  • Chen, Xiaoyan, 2010. "Dynkin's formula under the G-expectation," Statistics & Probability Letters, Elsevier, vol. 80(5-6), pages 519-526, March.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:5-6:p:519-526
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    References listed on IDEAS

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    1. Peng, Shige, 2008. "Multi-dimensional G-Brownian motion and related stochastic calculus under G-expectation," Stochastic Processes and their Applications, Elsevier, vol. 118(12), pages 2223-2253, December.
    2. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    3. Hans Föllmer & Alexander Schied, 2002. "Convex measures of risk and trading constraints," Finance and Stochastics, Springer, vol. 6(4), pages 429-447.
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