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Jensen’s inequality for g-expectations in general filtration spaces

Wenjie Song, Panyu Wu and Guodong Zhang

Statistics & Probability Letters, 2021, vol. 169, issue C

Abstract: In this paper, we investigate the properties of BSDEs in general filtration spaces based on the transposition solutions. We obtain a result that Jensen’s inequality holds under the g-expectation and conditional g-expectation in general filtration spaces if and only if g is independent of y and super-homogeneous in z.

Keywords: Jensen’s inequality; g-expectation; Filtration; Backward stochastic differential equation (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1016/j.spl.2020.108958

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