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A History of the Central Limit TheoremChebyshev’s and Markov’s Contributions

A History of the Central Limit Theorem: Chebyshev’s and Markov’s Contributions [From an historical point of view, the treatment of the CLT by themethod of moments is strongly connected with the contributions of Chebyshev and Markov. According to the standard historical interpretation, both mathematicians with their contributions began to apply that mathematical rigor to probability theory which would become the norm during the first decades of the 20th century.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A History of the Central Limit TheoremChebyshev’s and Markov’s Contributions

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Publisher
Springer New York
Copyright
© Springer Science+Business Media, LLC 2011
ISBN
978-0-387-87856-0
Pages
139 –189
DOI
10.1007/978-0-387-87857-7_4
Publisher site
See Chapter on Publisher Site

Abstract

[From an historical point of view, the treatment of the CLT by themethod of moments is strongly connected with the contributions of Chebyshev and Markov. According to the standard historical interpretation, both mathematicians with their contributions began to apply that mathematical rigor to probability theory which would become the norm during the first decades of the 20th century.]

Published: Aug 21, 2010

Keywords: Weight Function; Limit Theorem; Central Limit Theorem; Orthogonal Polynomial; Continue Fraction

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