Permutation-Invariance in Koml\'os' Theorem for Non-negative Random Variables
Functional Analysis
2022-08-23 v1 Probability
Abstract
We provide a permutation-invariant version of the Koml\'os' theorem for non-negative random variables. The proof is quite elementary in the sense that it did not use the Axiom of Choice, and was based on a recent result in [3].
Cite
@article{arxiv.2208.09726,
title = {Permutation-Invariance in Koml\'os' Theorem for Non-negative Random Variables},
author = {Abdessamad Dehaj and Mohamed Guessous and Noureddine Sabiri},
journal= {arXiv preprint arXiv:2208.09726},
year = {2022}
}