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Item Details
Title: UNDERSTANDING MARKOV CHAINS
EXAMPLES AND APPLICATIONS
By: Nicolas Privault
Format: Paperback

List price: £29.99


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ISBN 10: 9814451509
ISBN 13: 9789814451505
Publisher: SPRINGER VERLAG, SINGAPORE
Pub. date: 7 August, 2013
Edition: 2013 ed.
Series: Springer Undergraduate Mathematics Series
Pages: 354
Description: This book provides an undergraduate introduction to discrete and continuous-time Markov chains and their applications. It includes more than 70 exercises, along with complete solutions, that help illustrate and present all concepts.
Synopsis: This book provides an undergraduate introduction to discrete and continuous-time Markov chains and their applications. A large focus is placed on the first step analysis technique and its applications to average hitting times and ruin probabilities. Classical topics such as recurrence and transience, stationary and limiting distributions, as well as branching processes, are also covered. Two major examples (gambling processes and random walks) are treated in detail from the beginning, before the general theory itself is presented in the subsequent chapters. An introduction to discrete-time martingales and their relation to ruin probabilities and mean exit times is also provided, and the book includes a chapter on spatial Poisson processes with some recent results on moment identities and deviation inequalities for Poisson stochastic integrals. The concepts presented are illustrated by examples and by 72 exercises and their complete solutions.
Illustrations: 71 Illustrations, black and white; IX, 354 p. 71 illus.
Publication: Singapore
Imprint: Springer Verlag, Singapore
Returns: Returnable
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