Probability

ISBN-10: 0387945490

ISBN-13: 9780387945491

Edition: 2nd 1996 (Revised)

List price: $94.95
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Description:

This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks, martingales, Markov chains, ergodic theory, weak convergence of probability measures, stationary stochastic processes, and the Kalman-Bucy filter. Many examples are discussed in detail, and there are a large number of exercises. The book is accessible to advanced undergraduates and can be used as a text for self-study. This new edition contains substantial revisions and updated references. The reader will find a deeper study of topics such as the distance between probability measures, metrization of weak convergence, and contiguity of probability measures. Proofs for a number of some important results which were merely stated in the first edition have been added. The author included new material on the probability of large deviations, and on the central limit theorem for sums of dependent random variables.
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Book details

List price: $94.95
Edition: 2nd
Copyright year: 1996
Publisher: Springer
Publication date: 12/8/1995
Binding: Hardcover
Pages: 624
Size: 6.50" wide x 9.75" long x 1.50" tall
Weight: 1.210
Language: English

Preface to the Second Edition
Preface to the First Edition
Introduction
Elementary Probability Theory
Mathematical Foundations of Probability Theory
Convergence of Probability Measures. Central Limit Theorem
Sequences and Sums of Independent Random Variables
Stationary (Strict Sense) Random Sequences and Ergodic Theory
Stationary (Wide Sense) Random Sequences. L[superscript 2] Theory
Sequences of Random Variables that Form Martingales
Sequences of Random Variables that Form Markov Chains
Historical and Bibliographical Notes
References
Index of Symbols
Index
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