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arXiv · 2006.10819

Central Limit Theorem for Symmetric Exchangeable Random Variables

Ilya Soloveychik
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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.

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Ilya Soloveychik. 2020-06-18. Central Limit Theorem for Symmetric Exchangeable Random Variables. https://arxiv.org/abs/2006.10819

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