History of the Central Limit Theorem: From Classical to Modern Probability Theory
Hans FischerThis 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.
श्रेणियाँ:
साल:
2010
संस्करण:
1st Edition.
प्रकाशन:
Springer
भाषा:
english
पृष्ठ:
419
ISBN 10:
0387878564
ISBN 13:
9780387878560
श्रृंखला:
Sources and Studies in the History of Mathematics and Physical Sciences
फ़ाइल:
PDF, 2.58 MB
IPFS:
,
english, 2010
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