Stochastic Processes: Holden-Day Series in Probability and Statistics - Hardcover

Parzen, Emanuel

Hardcover

ISBN 10: 1258766442 ISBN 13: 9781258766443

Publisher: Literary Licensing, LLC, 2013

Synopsis

Stochastic Processes: Holden-Day Series In Probability And Statistics is a comprehensive textbook written by Emanuel Parzen. The book provides an in-depth study of stochastic processes, which are mathematical models used to describe random phenomena that evolve over time. The book covers a wide range of topics, including Markov processes, Poisson processes, Brownian motion, and martingales. It also includes discussions on the applications of stochastic processes in various fields, such as finance, engineering, and physics.The book is divided into four parts, each focusing on different aspects of stochastic processes. Part I introduces the basic concepts of stochastic processes, such as probability spaces, random variables, and conditional expectations. Part II covers discrete-time Markov processes, including their properties, classification, and applications. Part III discusses continuous-time Markov processes, including Poisson processes, birth-death processes, and diffusion processes. Part IV covers martingales, which are stochastic processes that have a property of being fair games.The book is written in a clear and concise manner, with numerous examples and exercises to help readers understand the concepts. It is suitable for graduate students and researchers in mathematics, statistics, and related fields who want to deepen their understanding of stochastic processes. Overall, Stochastic Processes: Holden-Day Series In Probability And Statistics is an essential reference for anyone interested in the theory and applications of stochastic processes.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

About this title

Book Description

Ideal for courses 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.

From the Back Cover

Well-written and accessible, this classic introduction to stochastic processes and related mathematics is appropriate for advanced undergraduate students of mathematics with a knowledge of calculus and continuous probability theory. The treatment offers examples of the wide variety of empirical phenomena for which stochastic processes provide mathematical models, and it develops the methods of probability model-building.
Chapter 1 presents precise definitions of the notions of a random variable and a stochastic process and introduces the Wiener and Poisson processes. Subsequent chapters examine conditional probability and conditional expectation, normal processes and covariance stationary processes, and counting processes and Poisson processes. The text concludes with explorations of renewal counting processes, Markov chains, random walks, and birth and death processes, including examples of the wide variety of phenomena to which these stochastic processes may be applied. Numerous examples and exercises complement every section.
Dover (2015) republication of the edition published by Holden-Day, Inc., San Francisco, 1962.
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Edition details

• Publisher: Literary Licensing, LLC
• Publication date: 2013
• Language: English
• ISBN 10: 1258766442
• ISBN 13: 9781258766443
• Binding: Hardcover
• Number of pages: 338
• Editor: Karlin Samuel