Lecture Notes on Probability Theory and Random Processes

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Lecture Notes on Probability Theoryand Random ProcessesJean WalrandDepartment of Electrical Engineering and Computer SciencesUniversity of CaliforniaBerkeley, CA 94720August 25, 20042Table of ContentsTable of Contents3Abstract9Introduction11 Modelling Models and Physical Reality. . . . . . . . . . . . . . . . . . . . . . . . . . . Concepts and Calculations. . . . . . . . . . . . . . . . . . . . . . . . . . . . Function of Hidden Variable. . . . . . . . . . . . . . . . . . . . . . . . . . . A Look Back.

Probability Theory is a mathematical model of uncertainty. In these notes, we introduce examples of uncertainty and we explain how the theory models them. It is important to appreciate the difierence between uncertainty in the physical world and the models of Probability Theory. That difierence is similar to that between laws of

  Theory, Probability, Probability theory