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A History of the Central Limit TheoremThe Central Limit Theorem from Laplace to Cauchy: Changes in Stochastic Objectives and in Analytical Methods

A History of the Central Limit Theorem: The Central Limit Theorem from Laplace to Cauchy: Changes... [In 1812, Pierre-Simon de Laplace (1749–1827) published the first edition of his Théorie analytique des probabilités (henceforth simply abbreviated by TAP).1 With its typical problems, stochastic models, and analytic methods this book would considerably influence probability theory and mathematical statistics right until the beginning of the 20th century.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A History of the Central Limit TheoremThe Central Limit Theorem from Laplace to Cauchy: Changes in Stochastic Objectives and in Analytical Methods

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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Publisher
Springer New York
Copyright
© Springer Science+Business Media, LLC 2011
ISBN
978-0-387-87856-0
Pages
17 –74
DOI
10.1007/978-0-387-87857-7_2
Publisher site
See Chapter on Publisher Site

Abstract

[In 1812, Pierre-Simon de Laplace (1749–1827) published the first edition of his Théorie analytique des probabilités (henceforth simply abbreviated by TAP).1 With its typical problems, stochastic models, and analytic methods this book would considerably influence probability theory and mathematical statistics right until the beginning of the 20th century.]

Published: Aug 21, 2010

Keywords: Series Expansion; Central Limit Theorem; Independent Random Variable; Error Theory; Observational Error

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