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Title
Discrete probability models and methods : probability on graphs and trees, Markov chains and random fields, entropy and coding / Pierre Brémaud.
ISBN
9783319434766 (electronic book)
3319434764 (electronic book)
9783319434759
Published
Cham, Switzerland : Springer, 2017.
Language
English
Description
1 online resource (xiv, 559 pages) : illustrations.
Other Standard Identifiers
10.1007/978-3-319-43476-6 doi
Call Number
QA273.19.E4
Dewey Decimal Classification
519.2
Summary
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. .
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed February 13, 2017).
Series
Probability theory and stochastic modelling ; v. 78.
Available in Other Form
Print version: 9783319434759
