Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

A History of the Central Limit TheoremGeneralizations

A History of the Central Limit Theorem: Generalizations [Lévy‘s and Feller‘s theorems of 1935 served as a paradigm for further work on sums of independent one- or multidimensional random variables, on the one hand. This strand of development largely preserved the “traditional” analytic orientation. On the other hand, generalizations toward martingales and random elements in metric spaces triggered a growing influence of measure theory even on the “classical” limit problems of probability.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A History of the Central Limit TheoremGeneralizations

Download PDF
38 pages

Loading next page...
 
/lp/springer-journals/a-history-of-the-central-limit-theorem-generalizations-V93b13hkra

References (0)

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
Springer New York
Copyright
© Springer Science+Business Media, LLC 2011
ISBN
978-0-387-87856-0
Pages
315 –352
DOI
10.1007/978-0-387-87857-7_7
Publisher site
See Chapter on Publisher Site

Abstract

[Lévy‘s and Feller‘s theorems of 1935 served as a paradigm for further work on sums of independent one- or multidimensional random variables, on the one hand. This strand of development largely preserved the “traditional” analytic orientation. On the other hand, generalizations toward martingales and random elements in metric spaces triggered a growing influence of measure theory even on the “classical” limit problems of probability.]

Published: Aug 21, 2010

Keywords: Characteristic Function; Limit Theorem; Independent Random Variable; Random Element; Invariance Principle

There are no references for this article.