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Probability, Statistics, and Stochastic Processes

probability , statistics , and StochasticProcessesProbability, statistics , andStochasticProcessesPeter OlofssonMikael AnderssonA Wiley-Interscience PublicationJOHN WILEY & SONS, York / Chichester / Weinheim / Brisbane / Singapore / TorontoPrefaceThe BookIn November 2003, I was completing a review of an undergraduate textbook in prob-ability and statistics . In the enclosed evaluation sheet was the question Have youever considered writing a textbook? and I suddenly realized that the answer was Yes, and had been for quite some time. For several years I had been teaching acourse on calculus-based probability and statistics mainly for mathematics, science,and engineering students.

3.5 Conditional Distributions and Independence 169 3.5.1 Independent Random Variables 174 3.6 Functions of Random Vectors 178 3.6.1 Real-Valued Functions of Random Vectors 178 3.6.2 The Expected Value and Variance of a Sum 182 3.6.3 Vector-Valued Functions of Random Vectors 188 3.7 Conditional Expectation 191

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