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arxiv: 1811.00640 · v1 · pith:6K4TV42Lnew · submitted 2018-11-01 · 🧮 math.OC

A Multidimensional Fatou Lemma for Conditional Expectations

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keywords expectationsconditionalfatoulemmamultidimensionalclassicalclosedcone
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The classical multidimensional version of Fatou's lemma (Schmeidler 1970) originally obtained for unconditional expectations and the standard non-negative cone in a finite-dimensional linear space is extended to conditional expectations and general closed pointed cones.

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