Hardcover. This book is devoted to limit theorems and probability inequalities for sums of independent random variables. It includes limit theorems on convergence to infinitely divisible distributions, the central limit theorem with rates of convergence, the weak and strong law of large numbers, the law of the iterated logarithm, and also many inequalities for sums of an arbitrary number of random variables. The aim of the book is two-fold. First, thebook can be a basis for a course in probability for graduate or advanced undergraduate students. Second, the book can serve as a reference formulations of many (mostly recent) results which areusually inaccessible in book form. These supplements border on the basic text and make it possible for the reader to look at the frontier of modern investigations. Devoted to limit theorems and probability inequalities for sums of independent random variables, both the classical and the most recent results are explained, and every chapter has supplements with formulations of many of these results. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Bibliographic Details

Title: Limit Theorems of Probability Theory (Hardcover)
Publisher: Oxford University Press, Oxford
Publication Date: 1995
Language: English
ISBN 10: 019853499X
ISBN 13: 9780198534990
Binding: Hardcover
Condition: new

About this title

Synopsis

This book offers a superb overview of limit theorems and probability inequalities for sums of independent random variables. Unique in its combination of both classic and recent results, the book details the many practical aspects of these important tools for solving a great variety of problems in probability and statistics. Topics include limit theorems on convergence to infinitely divisible distributions, the central limit theorem with rates of convergence, the weak and strong law of large numbers, the law of the iterated logarithm, and the many inequalities for sums of an arbitrary number random variables. Ideal as both a graduate text and a reference for seasoned mathematicians, Limit Theorems of Probability Theory brings the reader to the frontier of current research.

About the Author

Valentin V. Petrov is at St Petersburg University, St Petersburg.

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