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9780821848999

The Life and Times of the Central Limit Theorem

by
  • ISBN13:

    9780821848999

  • ISBN10:

    0821848992

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 2009-11-28
  • Publisher: Amer Mathematical Society

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Summary

Early life and middle years: A seed is sown Approximation by integrals of $e^{-x^{2}}$ Impetus provided by the theory of errors of observation Impetus provided by mathematical astronomy The flowering of the central limit theorem begins The development of the hypothesis of elementary errors The emergence of an abstract central limit theorem Chebyshev's pupils: A. A. Markov and A. M. Lyapunov Bibliography The modern era: W. Feller, The fundamental limit theorems in probability L. Le Cam, The central limit theorem around 1935 H. F. Trotter, J. L. Doob, David Pollard, and L. Le Cam, Comments and rejoinder Appendix: A. M. Lyapunov, On a theorem in probability theory A. M. Lyapunov, On a theorem in probability theory A. M. Lyapunov, A general proposition in probability theory A. M. Lyapunov, A new form of a theorem on the limit of a probability Index

Table of Contents

Early life and middle years: A seed is sown
Approximation by integrals of $e^{-x^{2}}$
Impetus provided by the theory of errors of observation
Impetus provided by mathematical astronomy
The flowering of the central limit theorem begins
The development of the hypothesis of elementary errors
The emergence of an abstract central limit theorem
Chebyshev's pupils
Bibliography The modern era
The fundamental limit theorems in probability
The central limit theorem around 1935
Comments and rejoinder
Appendix: A. M. Lyapunov
On a theorem in probability theory A. M. Lyapunov
On a theorem in probability theory A. M. Lyapunov
A general proposition in probability theory A. M. Lyapunov
A new form of a theorem on the limit of a probability
Index
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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