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Unformatted text preview: . . . . . . . . . . . . . . . . . . . . 3 3 6 12 16 18 . . . . . . . . . . . . . . . . . . . . . . . 21 21 23 28 30 30 33 33 33 36 38 41 43 45 47 54 55 56 61 61 61 64 66 67 iv CONTENTS 3 Continuous-type random variables 3.1 Cumulative distribution functions . . . . . . . . . . . . . . . . . . . 3.2 Continuous-type random variables . . . . . . . . . . . . . . . . . . 3.3 Uniform distribution . . . . . . . . . . . . . . . . . . . . . . . . . . 3.4 Exponential distribution . . . . . . . . . . . . . . . . . . . . . . . . 3.5 Poisson processes . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.5.1 Time-scaled Bernoulli processes . . . . . . . . . . . . . . . . 3.5.2 Definition and properties of Poisson processes . . . . . . . . 3.5.3 The gamma distribution . . . . . . . . . . . . . . . . . . . . 3.6 Linear scaling of pdfs and the Gaussian distribution . . . . . . . . 3.6.1 Scaling rule for pdfs . . . . . . . . . . . . . . . . . . . . . . 3.6.2 The Gaussian (normal) distribution . . . . . . . . . . . . ....
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