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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.

1.2 Sample Spaces and Events 3 1.3 The Axioms of Probability 7 1.4 Finite Sample Spaces and Combinatorics 16 1.4.1 Combinatorics 18 ... and Bayes’ Formula 43 1.6.1 Bayes’ Formula 49 1.6.2 Genetics and Probability 56 1.6.3 Recursive Methods 58 2 Random Variables 79 2.1 Introduction 79 2.2 Discrete Random Variables 81 2.3 Continuous Random ...

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