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On the interchange of subdifferentiation and conditional expectation for convex functionals

Abstract

We show that the operators Eg(conditional expectation given a σ-field g) and ∂ (subdifferentiation), when applied to a normal convex integrand ƒ commute if the effective domain multifunction Ω→{x∊Rnf(ω,x)<+∞ is g-measurable

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International Institute for Applied Systems Analysis (IIASA)

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Last time updated on 09/03/2017

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