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An introduction to stochastic modelling.

By: Pinsky, Mark A, 1940-Contributor(s): Karlin, Samuel, 1923-2007 | Taylor, Howard MMaterial type: TextTextPublication details: London : Academic, 2011Edition: 4th edition. by Mark Pinsky, Samuel KarlinDescription: 1 vISBN: 9780123814173 (e-book)Subject(s): Stochastic processes -- Mathematical models | Mathematics | Mathematics | StochasticsGenre/Form: LOC classification: QA274Online access: Open e-book Also available in printed form ISBN 9780123814166Summary: Stochastic processes are ways of quantifying the dynamic relationships of sequences of random events. Stochastic models play an important role in elucidating many areas of the natural and engineering sciences. 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
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Previous ed.: published as by Howard M. Taylor and Samuel Karlin. 1998.

Includes index.

Stochastic processes are ways of quantifying the dynamic relationships of sequences of random events. Stochastic models play an important role in elucidating many areas of the natural and engineering sciences. 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

Also available in printed form ISBN 9780123814166

Electronic reproduction. Askews and Holts. Mode of access: World Wide Web.

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