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History of the Central Limit Theorem: From Classical to Modern Probability Theory PDF

419 Pages·2010·2.579 MB·English
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by Hans Fischer| 2010| 419 pages| 2.579| English

About History of the Central Limit Theorem: From Classical to Modern Probability Theory

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.

Detailed Information

Author:Hans Fischer
Publication Year:2010
ISBN:9780387878560
Pages:419
Language:English
File Size:2.579
Format:PDF
Price:FREE
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