Markov processes for stochastic modeling

Markov processes for stochastic modeling

by Ibe, Oliver C., (Oliver Chukwudi)

Type Book
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"This book, which is written for upper level undergraduate and graduate students, and researchers, presents a unified presentation of Markov processes. In addition to traditional topics such as Markovian queueing system, the book discusses such topics as continuous-time random walk, correlated random walk, Brownian motion, diffusion processes, hidden Markov models, Markov random fields, Markov point processes and Markov chain Monte Carlo. Continuous-time random walk is currently used in econoph…

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Title Statements

  • Full title :Markov processes for stochastic modeling / Oliver C. Ibe.

Summary

"This book, which is written for upper level undergraduate and graduate students, and researchers, presents a unified presentation of Markov processes. In addition to traditional topics such as Markovian queueing system, the book discusses such topics as continuous-time random walk, correlated random walk, Brownian motion, diffusion processes, hidden Markov models, Markov random fields, Markov point processes and Markov chain Monte Carlo. Continuous-time random walk is currently used in econophysics to model the financial market, which has traditionally been modelled as a Brownian motion. The broad coverage of many different applications of Markov processes provided within this text, ultimately allows it to function as a flexible and comprehensive resource."--Jacket.

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Edition Statements

  • Publication Date:©2009.

Publication Statements

  • Publisher(s):Academic Press
  • Place of Publication:Amsterdam
  • Language:eng
  • Publication Date:©2009.

The Physical Object

  • Description:xiv, 490 pages : : illustrations ; : 24 cm

Edition Identifiers

  • ISBN:9780123744517, 0123744512
  • oclc:ocn228676682
  • LC Classification:QA274.7
  • Dewey Decimal:519.2/33

Table of Contents

Basic concepts -- Introduction to Markov processes -- Discrete-time Markov chains -- Continuous-time Markov chains -- Markovian queueing systems -- Markov renewal processes -- Markovian arrival processes -- Random walk -- Brownian motion and diffusion processes -- Controlled Markov processes -- Hidden Markov models -- Markov random fields -- Markov point processes -- Markov chain Monte Carlo.

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