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Abstract:
In this paper, we consider filtration-consistent nonlinear expectations which satisfy a general domination condition. We show that filtration-consistent nonlinear expectations can be represented byg-expectations defined by the solutions of backward stochastic differential equations, whose generators are independent ofyand uniformly continuous inz. As an application, we establish a concentration inequality for time-consistent risk measures.
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COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
ISSN: 0361-0918
Year: 2020
Issue: 12
Volume: 51
Page: 7133-7150
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JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:46
Cited Count:
WoS CC Cited Count: 0
SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 2
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