An Introduction to Stochastic Modeling, Third Edition
by Samuel Karlin, Howard M. Taylor
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Book Summary Information
Author: Howard M. Taylor, Samuel KarlinEdition: Hardcover
Audio: English (Original Language); English (Unknown); English (Published)
Published: 1998-02
ISBN: 0126848874
Number of pages: 631
Publisher: Academic Press
Book Reviews of An Introduction to Stochastic Modeling, Third Edition
Book Review: good applied stochastic processes book
Summary: 4 Stars
Since the third edition is out and I have not seen I must say upfront that my comments are on an earlier edition. This pair of authors have done an excellent job with three textbooks on stochastic processes. Unlike the other two books that give a rigorous treatment of stochastic processes this book is more applied with the emphasis on examples and models for real applied problems. Introductory probability and statistics is assumed by the authors and they deal with all the standard topics.
However, I do have to agree with the other reviewers who criticize the organization. Karlin and Taylor are not known for great organizational skills. Sometimes that is a trait of a mathematical genius. Sam Karlin can certainly be put into that category. Although I never took a course from him at Stanford, the fact that he was a Stanford professor meant that I did learn a lot about him and see him on campus and hear an occasional lecture. Of course this was a long time ago in the mid 1970s when the first edition of the first course was out and the other two books had probably not yet been contemplated.
In any case this would be a good reference for an applied statistician to have.
Summary of An Introduction to Stochastic Modeling, Third Edition
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, Third 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.* Realistic applications from a variety of disciplines integrated throughout the text
* Plentiful, updated and more rigorous problems, including computer "challenges"
* Revised end-of-chapter exercises setsin all, 250 exercises with answers
* New chapter on Brownian motion and related processes
* Additional sections on Matingales and Poisson process
* Solutions manual available to adopting instructors
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