Free shipping on orders over $49 - Limited time only - T&Cs apply
Track My Order
Help Centre
Likes
My Wish ListsLogin / Join
Booktopia
Australia's local bookstore
Get Free Shipping on orders over $49
An Introduction to Markov Processes : Graduated Texts In Mathematics - Daniel W. Stroock

An Introduction to Markov Processes

By: Daniel W. Stroock

Paperback | 1 March 2005

At a Glance

Paperback

$99.00

or 4 interest-free payments of $24.75 with

 or 

Ships in 5 to 7 business days

To some extent, it would be accurate to summarize the contents of this book as an intolerably protracted description of what happens when either one raises a transition probability matrix P (i. e. , all entries (P)>>j are n- negative and each row of P sums to 1) to higher and higher powers or one exponentiates R(P - I), where R is a diagonal matrix with non-negative entries. Indeed, when it comes right down to it, that is all that is done in this book. However, I, and others of my ilk, would take offense at such a dismissive characterization of the theory of Markov chains and processes with values in a countable state space, and a primary goal of mine in writing this book was to convince its readers that our offense would be warranted. The reason why I, and others of my persuasion, refuse to consider the theory here as no more than a subset of matrix theory is that to do so is to ignore the pervasive role that probability plays throughout. Namely, probability theory provides a model which both motivates and provides a context for what we are doing with these matrices. To wit, even the term "transition probability matrix" lends meaning to an otherwise rather peculiar set of hypotheses to make about a matrix.
Industry Reviews

From the reviews:

"The book under review ... provides an excellent introduction to the theory of Markov processes ... . An abstract mathematical setting is given in which Markov processes are then defined and thoroughly studied. Because of this the book will basically be of interest to mathematicians and those who have at least a good knowledge of undergraduate analysis and probability theory. ... The proofs are clearly written and explanations are not too concise which makes this book indeed very useful for a graduate course." (Stefaan De Winter, Bulletin of the Belgian Mathematical Society, Vol. 15 (1), 2008)

You Can Find This Book In

Non-FictionMathematicsApplied MathematicsStochasticsProbability & Statistics

More in Stochastics

Kriging in Slope Reliability Analysis - Jing-Ze Li

Kriging in Slope Reliability Analysis

Paperback

$191.75

Game Theory : 2nd edition - Michael Maschler

Game Theory

2nd edition

Paperback

RRP $113.95

$96.75

15%
OFF
Introduction to Stochastic Processes : 2nd Edition - Gregory F. Lawler

Introduction to Stochastic Processes

2nd Edition

Hardcover

RRP $221.00

$157.75

29%
OFF
Logistic Regression : Bridging Theory and Practice - Hassan Doosti

Logistic Regression

Bridging Theory and Practice

Hardcover

RRP $305.00

$263.75

14%
OFF
Networks : Probability and Statistics - A. D. Barbour

Networks

Probability and Statistics

Hardcover

RRP $300.00

$259.75

13%
OFF

This product is categorised by