Central Limit Theorem for Symmetric Exchangeable Random Variables
Probability
2020-06-22 v1
Abstract
A central limit theorem for arrays of symmetric row-wise exchangeable random variables is presented. The result is valid for finite and infinite extendable and non-extendable sequences. Unlike most reported versions of the central limit theorem valid only for partial sums of finite non-extendable sequences, ours applies to the entire sum and mimics the classical theorem in this sense.
Cite
@article{arxiv.2006.10819,
title = {Central Limit Theorem for Symmetric Exchangeable Random Variables},
author = {Ilya Soloveychik},
journal= {arXiv preprint arXiv:2006.10819},
year = {2020}
}