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A History of the Central Limit TheoremIntroduction

A History of the Central Limit Theorem: Introduction [ The term “central limit theorem” most likely traces back to Georg PÓlya. As he recapitulated at the beginning of a paper published in 1920, it was “generally known that the appearance of the Gaussian probability density1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $${e^-x^2}$$ \end{document}” in a great many situations “can be explained by one and the same limit theorem,” which plays “a central role in probability theory” [PÓlya 1920, 171]. Laplace had discovered the essentials of this fundamental theorem in 1810, and with the designation “central limit theorem of probability theory,” which was even emphasized in the paper‘s title, PÓlya gave it the name that has been in general use ever since.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A History of the Central Limit TheoremIntroduction

Part of the Sources and Studies in the History of Mathematics and Physical Sciences Book Series
Fischer, Hans
Springer Journals — Aug 21, 2010
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15 pages

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Publisher
Springer New York
Copyright
© Springer Science+Business Media, LLC 2011
ISBN
978-0-387-87856-0
Pages
1 –16
DOI
10.1007/978-0-387-87857-7_1
Publisher site
See Chapter on Publisher Site

Abstract

[ The term “central limit theorem” most likely traces back to Georg PÓlya. As he recapitulated at the beginning of a paper published in 1920, it was “generally known that the appearance of the Gaussian probability density1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $${e^-x^2}$$ \end{document}” in a great many situations “can be explained by one and the same limit theorem,” which plays “a central role in probability theory” [PÓlya 1920, 171]. Laplace had discovered the essentials of this fundamental theorem in 1810, and with the designation “central limit theorem of probability theory,” which was even emphasized in the paper‘s title, PÓlya gave it the name that has been in general use ever since.]

Published: Aug 21, 2010

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