## Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers

### Roy D. Yates; David J. Goodman

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What Does Winning the Lottery Have To do with Engineering? Whether you're trying to win millions in the lottery or designing a complex computer network, you're applying probability theory. Although you encounter probability applications everywhere, the theory can be deceptively difficult to learn and apply correctly. This text will help you grasp the concepts of probability and stochastic processes and apply them throughout your careers. These concepts are clearly presented throughout the book as a sequence of building blocks that are clearly identified as either an axiom, definition, or theorem. This approach provides you with a better understanding of the material which you'll be able to use to solve practical problems. Key Features:
* The text follows a single model that begins with an experiment consisting of a procedure and observations.
* The mathematics of discrete random variables appears separately from the mathematics of continuous random variables.
* Stochastic processes are introduced in Chapter 6, immediately after the presentation of discrete and continuous random variables. Subsequent material, including central limit theorem approximations, laws of large numbers, and statistical inference, then use examples that reinforce stochastic process concepts.
* An abundance of exercises are provided that help students learn how to put the theory to use.

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Applications of probability theory appear throughout modern society, such as state lotteries, weather forecasts, insurance prices. Professionals use probability theory as an astute tool for decision making. Electrical and computer engineers use probability to design computer networks, test integrated circuits, and evaluate communications systems. This book is written to help engineers clearly grasp the concepts of probability and stochastic processes. It presents the theory of probability and stochastic process as a sequence of building blocks that are clearly identified. Each block is either an axiom, a definition, or a theorem. Intuitive explanations of new concepts are interspersed with mathematical statements.

Dr. Roy Yates received the B.S.E. degree in 1983 from Princeton University, and the S.M. and Ph.D. degrees in 1986 and 1990 from M.I.T., all in Electrical Engineering. Since 1990, he has been with the Wireless Information Networks Laboratory (WINLAB) and the ECE department at Rutgers, University. He is currently an associate professor.
David J. Goodman is Director of WINLAB and a Professor of Electrical and Computer Engineering at Rutgers University. Before coming to Rutgers, he enjoyed a twenty year research career at Bell Labs where he was a Department Head in Communications Systems Research. He has made fundamental contributions to digital signal processing, speech coding, and wireless information networks.

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