An Introduction to Stochastic Modeling

An Introduction to Stochastic Modeling

4th Edition - November 18, 2010

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  • Authors: Mark Pinsky, Samuel Karlin
  • eBook ISBN: 9780123814173
  • Hardcover ISBN: 9780123814166

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Serving as the foundation for a one-semester course in stochastic processes for students familiar with elementary probability theory and calculus, Introduction to Stochastic Modeling, Fourth Edition, bridges the gap between basic probability and an intermediate level course in stochastic processes. The objectives of the text are to introduce students to the standard concepts and methods of stochastic modeling, to illustrate the rich diversity of applications of stochastic processes in the applied sciences, and to provide exercises in the application of simple stochastic analysis to realistic problems. New to this edition: Realistic applications from a variety of disciplines integrated throughout the text, including more biological applications Plentiful, completely updated problems Completely updated and reorganized end-of-chapter exercise sets, 250 exercises with answers New chapters of stochastic differential equations and Brownian motion and related processes Additional sections on Martingale and Poisson process

Key Features

  • Realistic applications from a variety of disciplines integrated throughout the text
  • Extensive end of chapter exercises sets, 250 with answers
  • Chapter 1-9 of the new edition are identical to the previous edition
  • New! Chapter 10 - Random Evolutions
  • New! Chapter 11- Characteristic functions and Their Applications


Upper division undergraduate and graduate-level courses in stochastic processes and stochastic modeling, offered in statistics and mathematics departments at all major universities

Table of Contents

  • Introduction
    Conditional Probability and Conditional Expectation
    Markov Chains: Introduction
    The Long Run Behavior of Markov Chains
    Poisson Processes
    Continuous Time Markov Chains
    Renewal Phenomena
    Brownian Motion and Related Processes
    Queueing Systems
    Random Evolutions
    Characteristic Functions and Their Applications

Product details

  • No. of pages: 584
  • Language: English
  • Copyright: © Academic Press 2010
  • Published: November 18, 2010
  • Imprint: Academic Press
  • eBook ISBN: 9780123814173
  • Hardcover ISBN: 9780123814166

About the Authors

Mark Pinsky

Samuel Karlin

Affiliations and Expertise

Stanford University and The Weizmann Institute of Science

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