1999 / xx + 324 pages / Softcover / ISBN: 978-0-898714-41-8 / List Price $65.00 / SIAM Member Price $45.50 / Order Code CL24
This introductory textbook explains how and why probability models are applied to scientific fields such as medicine, biology, physics, oceanography, economics, and psychology to solve problems about stochastic processes. It does not just show how a problem is solved but explains why by formulating questions and first steps in the solutions.
Stochastic Processes is ideal for a course aiming to give examples of the wide variety of empirical phenomena for which stochastic processes provide mathematical models. It introduces the methods of probability model building and provides the reader with mathematically sound techniques as well as the ability to further study the theory of stochastic processes.
Originally published in 1962, this was the first comprehensive survey of stochastic processes requiring only a minimal background in introductory probability theory and mathematical analysis. Stochastic Processes continues to be unique, with many topics and examples still not discussed in other textbooks. As new fields of applications (such as finance and DNA analysis) become important, researchers will continue to find the fundamental and accessible topics explained in this book essential background for their research.
Suitable for an introductory course on probability model building.
Preface to the Classics Edition; Preface; Role of the Theory of Stochastic Processes; Chapter 1: Random Variables and Stochastic Processes; Chapter 2: Conditional Probability and Conditional Expectation; Chapter 3: Normal Processes and Covariance Stationary Processes; Chapter 4: Counting Processes and Poisson Processes; Chapter 5: Renewal Counting Processes; Chapter 6: Markov Chains: Discrete Parameter; Chapter 7: Markov Chains: Continuous Parameter; References; Author Index; Subject Index.
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