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Stochastic Processes with Applications

Stochastic Processes with Applications

Part of Classics in Applied Mathematics

  • Date Published: August 2009
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898716894

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  • This book develops systematically and rigorously, yet in an expository and lively manner, the evolution of general random processes and their large time properties such as transience, recurrence, and convergence to steady states. The emphasis is on the most important classes of these processes from the viewpoint of theory as well as applications, namely, Markov processes. The book features very broad coverage of the most applicable aspects of stochastic processes, including sufficient material for self-contained courses on random walks in one and multiple dimensions; Markov chains in discrete and continuous times, including birth-death processes; Brownian motion and diffusions; stochastic optimization; and stochastic differential equations. This book is for graduate students in mathematics, statistics, science and engineering, and it may also be used as a reference by professionals in diverse fields whose work involves the application of probability.

    • Numerous extensively worked examples illustrate important applications of the subject
    • Some very technical matters are relegated to a Theoretical Complements section at the end of each chapter in order not to impede the flow of the material
    • The essentials of measure theoretic probability are included in an appendix to complete some of the more technical aspects of the text
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    Reviews & endorsements

    'This may be the best all-around treatment [of stochastic processes] for use by graduate students with varied backgrounds but with some mathematical ambitions.' William G. Faris, University of Arizona

    'The book is remarkably comprehensive. The additional notes at the end of the chapters contain a fund of information.' Richard F. Gundy, Rutgers University

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    Product details

    • Date Published: August 2009
    • format: Paperback
    • isbn: 9780898716894
    • length: 184 pages
    • dimensions: 227 x 151 x 32 mm
    • weight: 0.94kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Preface to the Classics Edition
    Preface
    Sample course outline
    1. Random walk and Brownian motion
    2, Discrete-parameter Markov chains
    3. Birth–death Markov chains
    4. Continuous-parameter Markov chains
    5. Brownian motion and diffusions
    6. Dynamic programming and stochastic optimization
    7. An introduction to stochastic differential equations
    8. A probability and measure theory overview
    Author index
    Subject index
    Errata.

  • Authors

    Rabi N. Bhattacharya, University of Arizona
    Rabi N. Bhattacharya is a Professor of Mathematics at the University of Arizona. He is an IMS Fellow, a member of the AMS, and a recipient of the Humboldt Prize and a Guggenheim Fellowship.

    Edward C. Waymire, Oregon State University
    Edward C. Waymire is a Professor of Mathematics and Statistics at Oregon State University. He is a member of the AMS and SIAM, a Fellow of the IMS, and past Editor in Chief for the Annals of Applied Probability.

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