Download e-book for kindle: Discrete Probability Models and Methods: Probability on by Pierre Brémaud

By Pierre Brémaud

The emphasis during this e-book is put on common types (Markov chains, random fields, random graphs), common equipment (the probabilistic approach, the coupling strategy, the Stein-Chen approach, martingale tools, the strategy of sorts) and flexible instruments (Chernoff's certain, Hoeffding's inequality, Holley's inequality) whose area of software extends some distance past the current textual content. even supposing the examples taken care of within the booklet relate to the potential purposes, within the conversation and computing sciences, in operations examine and in physics, this e-book is within the first example excited about concept.

the extent of the e-book is that of a starting graduate direction. it truly is self-contained, the must haves consisting basically of uncomplicated calculus (series) and easy linear algebra (matrices). The reader isn't assumed to learn in likelihood because the first chapters provide in massive element the heritage essential to comprehend the remainder of the book.

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Discrete Probability Models and Methods: Probability on Graphs and Trees, Markov Chains and Random Fields, Entropy and Coding (Probability Theory and Stochastic Modelling) by Pierre Brémaud


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