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Unformatted text preview: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1 7 11 17 22 29 29 31 35 36 39 44 49 53 59 62 2 Poisson Processes 2.1 Exponential Distribution . . . 2.2 Defining the Poisson Process 2.3 Compound Poisson Processes 2.4 Transformations . . . . . . . 2.4.1 Thinning . . . . . . . 2.4.2 Superposition . . . . . 2.4.3 Conditioning . . . . . 2.5 Chapter Summary . . . . . . 2.6 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 77 80 86 88 88 89 90 91 92 3 Renewal Processes 3.1 Laws of Large Numbers...
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This document was uploaded on 03/06/2014 for the course MATH 4740 at Cornell University (Engineering School).

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