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.

Authors

Institutions

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-14
DOI
https://doi.org/10.5281/zenodo.22749416
Primary Topic
Random Matrices and Applications
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
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
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Demonstrating the Central Limit Theorem via Monte Carlo Simulation — Amirhossein MoradiSizkouhi · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS