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Author:

Zheng, Shiqiu (Zheng, Shiqiu.) | Li, Shoumei (Li, Shoumei.) (Scholars:李寿梅)

Indexed by:

EI Scopus SCIE

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.

Keyword:

Filtration-consisitent expectation Time-consistent risk measure g-expectation Doob-Meyer decomposition Backward stochastic differential equation

Author Community:

  • [ 1 ] [Zheng, Shiqiu]Tianjin Univ Sci & Technol, Coll Sci, Tianjin 300457, Peoples R China
  • [ 2 ] [Li, Shoumei]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China

Reprint Author's Address:

  • [Zheng, Shiqiu]Tianjin Univ Sci & Technol, Coll Sci, Tianjin 300457, Peoples R China

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Source :

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION

ISSN: 0361-0918

Year: 2020

Issue: 12

Volume: 51

Page: 7133-7150

0 . 9 0 0

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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