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Introduction to Stochastic Processes - Lecture Notes

Introduction to Stochastic Processes - Lecture Notes (with 33 illustrations)Gordan itkovi Department of MathematicsThe University of Texas at AustinContents1 probability Random variables .. Countable sets .. Discrete random variables .. Expectation .. Events and probability .. Dependence and independence .. Conditional probability .. Examples .. 122 Mathematica in 15 Basic Syntax .. Numerical Approximation .. Expression Manipulation .. Lists and Functions .. Linear Algebra.

probability mass function (p 0;p 1;:::), you simply need to compute the sum P 1 i=1 p i. If it happens to be equal to 1, you can safely conclude that X never takes the value +1. Otherwise, the probability of +1is positive. The random variables for which S= f0;1gare especially useful. They are called indicators.

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