Stochastic Processes

by Sheldon M. Ross

Overview

This book contains material on compound Poisson random variables including an identity which can be used to efficiently compute moments, Poisson approximations, and coverage of the mean time spent in transient states as well as examples relating to the Gibb's sampler, the Metropolis algorithm and mean cover time in star graphs.

Product Details

ISBN-13:	9780471120629
Publisher:	Wiley
Publication date:	02/28/1995
Series:	Wiley Series in Probability and Statistics
Edition description:	REV
Pages:	544
Product dimensions:	6.50(w) x 9.19(h) x 1.56(d)

About the Author

Sheldon M. Ross is the author of Stochastic Processes, 2nd Edition, published by Wiley.

Table of Contents

Preliminaries.

The Poisson Process.

Renewal Theory.

Markov Chains.

Continuous-Time Markov Chains.

Martingales.

Random Walks.

Brownian Motion and Other Markov Processes.

Stochastic Order Relations.

Poisson Approximations.

Answers and Solutions to Selected Problems.

Index.

Editorial Reviews

A nonmeasure theoretical introduction to stochastic processes for students with a knowledge of calculus and elementary probability. Uses a probabilistic rather than an analytic approach whenever possible, for example describing most processes from a sample path perspective. The second edition includes new chapters on martingales and Poisson random variables, adds more information on a number of topics, and rearranges the order of the discussion. The date of the first edition is not indicated. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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