English

A Multidimensional Fatou Lemma for Conditional Expectations

Optimization and Control 2018-11-05 v1

Abstract

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.

Cite

@article{arxiv.1811.00640,
  title  = {A Multidimensional Fatou Lemma for Conditional Expectations},
  author = {E. Babaei and I. V. Evstigneev and K. R. Schenk-Hoppé},
  journal= {arXiv preprint arXiv:1811.00640},
  year   = {2018}
}

Comments

9 pages

R2 v1 2026-06-23T05:01:26.339Z