ENGLISH

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

By Hans Fischer

Book information

Publisher
Springer
Year
2010
ISBN
0387878564, 9780387878560
LCC
QA273.67 .F57 2011
Open Library ID
OL25053404M
Language
english
Format
PDF
Filesize
3 MB (2704385 bytes)
Series
Sources and Studies in the History of Mathematics and Physical Sciences
Edition
1st Edition.
Pages
419\419
Library
Kolxo3
Time added
2011-01-06 10:13:16
Математика;История математики

Description

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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