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A History of the Central Limit Theorem

From Classical to Modern Probability Theory

Springer New York,
Buch
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This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. Coverage extends to the historical development of analytical probability theory and its tools.

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Schlagworte
Hauptbeschreibung

Titel: A History of the Central Limit Theorem
Autoren/Herausgeber: Hans Fischer
Aus der Reihe: Sources and Studies in the History of Mathematics and Physical Series
Ausgabe: 2011

ISBN/EAN: 9781461427018

Seitenzahl: 402
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 640 g
Sprache: Englisch

This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace as a statement about approximations for the distributions of sums of independent random variables within the framework of classical probability, which focused upon specific problems and applications.
 
Making this theorem an autonomous mathematical object was very important for the development of modern probability theory.

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