A Short and Elementary Proof of the Central Limit Theorem by Individual Swapping

DOI10.1080/00029890.2022.2027711zbMath1486.60040arXiv2106.00871OpenAlexW3170508832WikidataQ113853662 ScholiaQ113853662MaRDI QIDQ5071771

Calvin Wooyoung Chin

Publication date: 22 April 2022

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.00871

zbMATH Keywords

central limit theoremLindeberg-Feller central limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Cites Work

• 90 years of the Lindeberg method
• Exact convergence rates in some martingale central limit theorems
• A new direct proof of the central limit theorem
• A new proof of central limit theorem for i.i.d. random variables
• An elementary proof of the central limit theorem
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