The Life and Times of the Central Limit Theorem

The Life and Times of the Central Limit Theorem
Author :
Publisher : American Mathematical Soc.
Total Pages : 218
Release :
ISBN-10 : 9780821848999
ISBN-13 : 0821848992
Rating : 4/5 (99 Downloads)

Book Synopsis The Life and Times of the Central Limit Theorem by : William J. Adams

Download or read book The Life and Times of the Central Limit Theorem written by William J. Adams and published by American Mathematical Soc.. This book was released on 2009-11-25 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: About the First Edition: The study of any topic becomes more meaningful if one also studies the historical development that resulted in the final theorem. ... This is an excellent book on mathematics in the making. --Philip Peak, The Mathematics Teacher, May, 1975 I find the book very interesting. It contains valuable information and useful references. It can be recommended not only to historians of science and mathematics but also to students of probability and statistics. --Wei-Ching Chang, Historica Mathematica, August, 1976 In the months since I wrote ... I have read it from cover to cover at least once and perused it here and there a number of times. I still find it a very interesting and worthwhile contribution to the history of probability and statistics. --Churchill Eisenhart, past president of the American Statistical Association, in a letter to the author, February 3, 1975 The name Central Limit Theorem covers a wide variety of results involving the determination of necessary and sufficient conditions under which sums of independent random variables, suitably standardized, have cumulative distribution functions close to the Gaussian distribution. As the name Central Limit Theorem suggests, it is a centerpiece of probability theory which also carries over to statistics. Part One of The Life and Times of the Central Limit Theorem, Second Edition traces its fascinating history from seeds sown by Jacob Bernoulli to use of integrals of $\exp (x^2)$ as an approximation tool, the development of the theory of errors of observation, problems in mathematical astronomy, the emergence of the hypothesis of elementary errors, the fundamental work of Laplace, and the emergence of an abstract Central Limit Theorem through the work of Chebyshev, Markov and Lyapunov. This closes the classical period of the life of the Central Limit Theorem, 1713-1901. The second part of the book includes papers by Feller and Le Cam, as well as comments by Doob, Trotter, and Pollard, describing the modern history of the Central Limit Theorem (1920-1937), in particular through contributions of Lindeberg, Cramer, Levy, and Feller. The Appendix to the book contains four fundamental papers by Lyapunov on the Central Limit Theorem, made available in English for the first time.


The Life and Times of the Central Limit Theorem Related Books

The Life and Times of the Central Limit Theorem
Language: en
Pages: 218
Authors: William J. Adams
Categories: Mathematics
Type: BOOK - Published: 2009-11-25 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

About the First Edition: The study of any topic becomes more meaningful if one also studies the historical development that resulted in the final theorem. ... T
Probability and Information
Language: en
Pages: 234
Authors: David Applebaum
Categories: Computers
Type: BOOK - Published: 1996-07-13 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This elementary introduction to probability theory and information theory is suitable as a textbook for beginning students in mathematics, statistics or compute
A History of the Central Limit Theorem
Language: en
Pages: 415
Authors: Hans Fischer
Categories: Mathematics
Type: BOOK - Published: 2010-10-08 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

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 al
The Nitty-Gritty in the Life of a University
Language: en
Pages: 445
Authors: William J. Adams
Categories: Education
Type: BOOK - Published: 2007 - Publisher: Xlibris Corporation

DOWNLOAD EBOOK

An esteemed professor and one-time chairman of the mathematics department at New York's Pace University, Adams, interested in all facets of university administr
Introductory Statistics 2e
Language: en
Pages: 2106
Authors: Barbara Illowsky
Categories: Mathematics
Type: BOOK - Published: 2023-12-13 - Publisher:

DOWNLOAD EBOOK

Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses