Random Variables and Probability Distributions (Paperback)

Harald Cramer

ISBN 10: 0521604869 / ISBN 13: 9780521604864

Published by Cambridge University Press, Cambridge, 2004

About this Item

Paperback. This tract develops the purely mathematical side of the theory of probability, without reference to any applications. When originally published, it was one of the earliest works in the field built on the axiomatic foundations introduced by A. Kolmogoroff in his book Grundbegriffe der Wahrscheinlichkeitsrechnung, thus treating the subject as a branch of the theory of completely additive set functions. The author restricts himself to a consideration of probability distributions in spaces of a finite number of dimensions, and to problems connected with the Central Limit Theorem and some of its generalizations and modifications. In this edition the chapter on Liapounoff's theorem has been partly rewritten, and now includes a proof of the important inequality due to Berry and Esseen. The terminology has been modernized, and several minor changes have been made. This tract develops the purely mathematical side of the theory of probability, without reference to any applications. When originally published, it was one of the earliest works in the field built on the axiomatic foundations introduced by A. Kolmogoroff in his book Grundbegriffe der Wahrscheinlichkeitsrechnung, thus treating the subject as a branch of the theory of completely additive set functions. The author restricts himself to a consideration of probability distributions in spaces of a finite number of dimensions, and to problems connected with the Central Limit Theorem and some of its generalizations and modifications. In this edition the chapter on Liapounoff??'s theorem has been partly rewritten, and now includes a proof of the important inequality due to Berry and Esseen. The terminology has been modernized, and several minor changes have been made. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780521604864

Bibliographic Details

• Title: Random Variables and Probability Distributions (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2004
• Language: English
• ISBN 10: 0521604869
• ISBN 13: 9780521604864
• Binding: Paperback
• Condition: new

About this title

Synopsis

This tract develops the purely mathematical side of the theory of probability.

Book Description

This tract develops the purely mathematical side of the theory of probability, without reference to any applications. When originally published it was one of the earliest works in the field and treated the subject as a branch of the theory of completely additive set functions. In this edition the terminology has been modernized and several minor changes have been made.