An Introduction to Stochastic Modeling

by Mark A. Pinsky, Samuel Karlin

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 sets in 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

Genres: Mathematics, Reference, Textbooks

584 pages, Hardcover

First published August 1, 1984

Reviews

[Kevin K. Gillette · Rating 4 out of 5]

This textbook was in draft status when I encountered it as a part of the reading for a course I took in stochastic processes at Stanford from Ian Johnstone. Although the typesetting was rather crude in draft form (remember, this was well before the wonderful WYSIWYG editors like MS-Word), it was an effective and accessible text. It served as my first introduction to the Chapman-Kolmogorov equations, which were very much a foundational concept for this subject.