CONTINUOUS PROPERTIES OF G-MARTINGALES

Citation:

CHEN Zengjing,PENG Shige.CONTINUOUS PROPERTIES OF G-MARTINGALES[J].Chinese Annals of Mathematics B,2001,22(1):115~128
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Authors:

CHEN Zengjing; PENG Shige

Foundation:

Project supported by the National Natural Science Foundation of China (No.79790130).
Abstract: The authors study the continuous properties of square integrable g-martingales via backward stochastic differential equations (shortly BSDEs) and get a general upcrossing inequality and an optional stopping theorem for g-martingales.

Keywords:

BSDEs, g-expectation, g-martingale, Upcrossing inequality, Optional stopping theorem

Classification:

60H10, 60G48
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