Probability Theory: Third Edition (Dover Books on Mathematics) - Softcover

Loeve, Michel

Softcover

ISBN 10: 0486814882 ISBN 13: 9780486814889

Publisher: Dover, 2017

Synopsis

"Every serious probabilist should, and doubtless will, possess a copy of this important work. Loève is to be complimented on completing his Herculean task at a uniformly high level of elegance." ― Journal of the American Statistical Association
"This is a very scholarly book in the best tradition of analysis. Nothing else of this type exists for the benefit of the serious student of the subject and it is safe to predict that it will remain a standard compendium for many years to come." ― S. Vajda in Zentralblatt für Mathematik
In the decades following its 1963 publication, this volume served as the standard advanced text in probability theory. Geared toward graduate students and professionals in the field of probability and statistics, the treatment offers extensive introductory material and is suitable for an undergraduate course in probability theory. The first four chapters cover notions of measure theory plus general concepts and tools of probability theory. Subsequent chapters explore sums of independent random variables, the central limit problem, conditioning, independence and dependence, ergodic theorems, and second order properties. The final two chapters examine foundations, martingales, and decomposability as well as Markov processes.

About this title

About the Author

Michel Loève (1907–1979) was born in Jaffa, Israel, and studied advanced mathematics in France. A Holocaust survivor of the Drancy concentration camp, Loève emigrated to the United States and was Professor of Mathematics at Berkeley from 1948, adding the titles of Professor of Statistics in 1955 and Professor Emeritus in 1974.

From the Back Cover

"Every serious probabilist should, and doubtless will, possess a copy of this important work. Loève is to be complimented on completing his Herculean task at a uniformly high level of elegance."―Journal of the American Statistical Association.
"This is a very scholarly book in the best tradition of analysis. Nothing else of this type exists for the benefit of the serious student of the subject and it is safe to predict that it will remain a standard compendium for many years to come."―S. Vajda in Zentralblatt für Mathematik.
In the decades following its 1963 publication, this volume served as the standard advanced text in probability theory. Geared toward graduate students and professionals in the field of probability and statistics, the treatment offers extensive introductory material and is suitable for an undergraduate course in probability theory. The first four chapters cover notions of measure theory plus general concepts and tools of probability theory. Subsequent chapters explore sums of independent random variables, the central limit problem, conditioning, independence and dependence, ergodic theorems, and second order properties. The final two chapters examine foundations, martingales, and decomposability as well as Markov processes.
Dover (2017) republication of the third edition originally published by the D. Van Nostrand Company, Inc., Princeton, New Jersey, 1963.
www.doverpublications.com

Edition details

• Publisher: Dover
• Publication date: 2017
• Language: English
• ISBN 10: 0486814882
• ISBN 13: 9780486814889
• Binding: Paperback
• Edition number: 3
• Number of pages: 704