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Discrete Probability Models and Methods

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Discrete Probability Models and Methods Synopsis

The emphasis in this book is placed on general models (Markov chains, random fields, random graphs), universal methods (the probabilistic method, the coupling method, the Stein-Chen method, martingale methods, the method of types) and versatile tools (Chernoff's bound, Hoeffding's inequality, Holley's inequality) whose domain of application extends far beyond the present text. Although the examples treated in the book relate to the possible applications, in the communication and computing sciences, in operations research and in physics, this book is in the first instance concerned with theory.

The level of the book is that of a beginning graduate course. It is self-contained, the prerequisites consisting merely of basic calculus (series) and basic linear algebra (matrices). The reader is not assumed to be trained in probability since the first chapters give in considerable detail the background necessary to understand the rest of the book.


About This Edition

ISBN: 9783319828350
Publication date:
Author: Pierre Brémaud
Publisher: Springer an imprint of Springer International Publishing
Format: Paperback
Pagination: 559 pages
Series: Probability Theory and Stochastic Modelling
Genres: Probability and statistics
Stochastics
Maths for computer scientists
Network hardware
Combinatorics and graph theory
Information theory
Coding theory and cryptology

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