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Discrete Probability Models and Methods

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Cover of 'Discrete Probability Models and Methods'

Table of Contents

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    Book Overview
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    Chapter 1 Events and Probability
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    Chapter 2 Random Variables
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    Chapter 3 Bounds and Inequalities
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    Chapter 4 Almost Sure Convergence
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    Chapter 5 The probabilistic Method
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    Chapter 6 Markov Chain Models.3
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    Chapter 7 Recurrence of Markov Chains
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    Chapter 8 Random Walks on Graphs
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    Chapter 9 Markov Fields on Graphs
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    Chapter 10 Random Graphs
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    Chapter 11 Coding Trees
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    Chapter 12 Shannon’s Capacity Theorem
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    Chapter 13 The Method of Types
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    Chapter 14 Universal Source Coding
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    Chapter 15 Asymptotic Behaviour of Markov Chains
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    Chapter 16 The Coupling Method
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    Chapter 17 Martingale Methods
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    Chapter 18 Discrete Renewal Theory
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    Chapter 19 Monte Carlo
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    Chapter 20 Convergence Rates
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    Chapter 21 Exact Sampling
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