Probability Theory with Applications

Hardcover | March 15, 2006

byMalempati M. Rao, Randall J. Swift

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This is a revised and expanded edition of a successful graduate and reference text. The book is designed for a standard graduate course on probability theory, including some important applications. The new edition offers a detailed treatment of the core area of probability, and both structural and limit results are presented in detail. Compared to the first edition, the material and presentation are better highlighted; each chapter is improved and updated.

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This is a revised and expanded edition of a successful graduate and reference text. The book is designed for a standard graduate course on probability theory, including some important applications. The new edition offers a detailed treatment of the core area of probability, and both structural and limit results are presented in detail....

From the Jacket

Probability Theory and Applications is a revised and expanded edition of a successful graduate and reference text. The material in the book is designed for a standard graduate course on probability theory, including some important applications. This new edition contains a detailed treatment of the core area of probability, and both str...

Format:HardcoverDimensions:548 pages, 9.21 × 6.14 × 0 inPublished:March 15, 2006Publisher:Springer USLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0387277307

ISBN - 13:9780387277301

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Table of Contents

Part I. Foundations.- 1. Background Material and Preliminaries.- 2. Independence and Strong Convergence.- 3. Conditioning and some Dependence Classes.- Part II. Analytical Theory.- 4. Probability Distributions and Characteristic Functions.- 5. Weak Limit Laws.- Part III. Applications.- 6. Stopping Times, Martingales, and Convergences.- 7. Limit Laws for some Dependent Sequences.- 8. A Glimpse of Stochastic Processes.- References.- Author Index.- Subject Index.

Editorial Reviews

From the reviews of the second edition:"This book is a thoroughly revised and updated version of the first edition written by M. M. Rao. It expresses the in many ways original views of the authors on how the subject could be presented in graduate courses for students of mathematical sciences. . Generally, lecturers will appreciate this book as a valuable source . . the reviewer will definitely make use of this book for developing and revising his own lectures and encourage serious students to use it . ." (Frank Beichelt, SIAM Review, Vol. 49 (2), 2007)