Demonstrating the Central Limit Theorem via Monte Carlo Simulation

Monte Carlo demonstration of the CLT across four population shapes; computes exact Berry–Esseen non-asymptotic bounds with the best known constant and compares them to simulated Kolmogorov distances.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-14
DOI
https://doi.org/10.5281/zenodo.22749417
Primary Topic
Random Matrices and Applications
Type
preprint
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preprint

Demonstrating the Central Limit Theorem via Monte Carlo Simulation

Amirhossein MoradiSizkouhi
Zenodo (CERN European Organization for Nuclear Research)
Random Matrices and Applications
preprint

Demonstrating the Central Limit Theorem via Monte Carlo Simulation

Amirhossein MoradiSizkouhi
preprint en

Abstract

Monte Carlo demonstration of the CLT across four population shapes; computes exact Berry–Esseen non-asymptotic bounds with the best known constant and compares them to simulated Kolmogorov distances.

Zenodo (CERN European Organization for Nuclear Research)
Imam Khomeini International University (IR)
Reduced inequalities
Random Matrices and Applications
DOIOpen Access PDFOpenAlex
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Demonstrating the Central Limit Theorem via Monte Carlo Simulation — Amirhossein MoradiSizkouhi · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS