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Discrete probability models and methods : probability on graphs and trees, Markov chains and random fields, entropy and coding

By: Bremaud, Pierre.
Series: Probability theory and stochastic modelling. / edited by Soren Asmussen; v.78.Publisher: Switzerland Springer 2017Description: xiv, 559p.ISBN: 9783319434759.Subject(s): Probabilities -- Data processing | Computer science -- Mathematics | Mathematical statisticsDDC classification: 519.2 | B75d
Contents:
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.
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Item type Current location Collection Call number Status Date due Barcode Item holds
Books Books PK Kelkar Library, IIT Kanpur
General Stacks 519.2 B75d (Browse shelf) Not for loan A183280
Total holds: 0
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519.2 B664N NUMERICAL METHODS FOR STOCHASTIC PROCESSES 519.2 B735d3E DATA ANALYSIS 519.2 B753c Concentration inequalities 519.2 B75d Discrete probability models and methods 519.2 C361F2 FIRST COURSE IN PROBABILITY 519.2 C36C CHAOS 519.2 C395E EXERCISES IN PROBABILITY

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.

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