Stochastic Processes

Stochastic Processes

by Rodney Coleman


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Product Details

ISBN-13: 9780045190171
Publisher: Springer Netherlands
Publication date: 12/31/1974
Series: Problem Solvers , #14
Edition description: 1974
Pages: 93
Product dimensions: 5.51(w) x 8.50(h) x 0.01(d)

Table of Contents

1 What is a Stochastic Process?.- 2 Results from Probability Theory.- 2.1 Introduction to probability theory.- 2.2 Bivariate distributions.- 2.3 Multivariate distributions.- 2.4 Probability generating functions.- 2.5 Characteristic functions.- 3 The Random Walk.- 3.1 The unrestricted random walk.- 3.2 Types of stochastic process.- 3.3 The gambler’s ruin.- 3.4 Generalisations of the random-walk model.- 4 Markov Chains.- 4.1 Definitions.- 4.2 Equilibrium distributions.- 4.3 Applications.- 4.4 Classification of the states of a Markov chain.- 5 The Poisson Process.- 6 Markov Chalns with Continuous Time Parameters.- 6.1 The theory.- 6.2 Applications.- 7 Non-Markov Processes in Continuous Time with Discrete State Spaces.- 7.1 Renewal theory.- 7.2 Population processes.- 7.3 Queuing theory.- 8 Diffusion Processes.- Recommendations For Further Reading.

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