An Introduction to Stochastic Modeling

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

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

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

Booknews

In this revised edition, the number of exercises has been doubled, and Wald's equation has been added along with examples of sum quota sampling. Chapters are organized around several prototype classes of stochastic processes featuring Markov chains in discrete and continuous time, Poisson processes and renewal theory, the evolution of branching events, and queueing models. Solutions to selected exercises are included. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Howard E. Taylor is a research chemist with the National Research Program, Water Resources Division, U.S. Geological Survey located in Boulder, Colorado. Dr. Taylor has played a major role over the past 25 years in the development of plasma spectrometric techniques in analytical chemistry, as reflected in his more than 150 technical publications and the presentation of numerous papers at national and international technical meetings. He has served as faculty affiliate at Colorado State University and has taught American Chemical Society Short Courses for more than 15 years.