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exam_2_sg_m4320_f2010_v1_0

# exam_2_sg_m4320_f2010_v1_0 - Exam 2 study guide Math 4320...

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Unformatted text preview: Exam 2 study guide: Math 4320 Fall 2010 1. Material Exam 2 will cover branching processes, Poisson processes (the primary focus of Exam 2), and birth processes. The following outline summarizes the relevant material. (1) branching processes (a) definition of a branching process (b) properties of branching processes (2) Poisson processes (a) definition of the Poisson process with rate λ (b) axiomatic derivation of the Poisson process (c) elementary computations with the Poisson process (see, for example, Exercises 5.1.7 and 5.1.8) (d) distributions associated with the Poisson process (1) sojourn times (2) waiting times (e) the connection with the binomial distribution (see Problem 5.1.6) (f) the connection with the uniform distribution (see Section 5.4 and Theorem 4.1 contained therein) (g) spatial Poisson processes (h) nonhomogeneous Poisson processes (see Section 5.1.3 and the example contained therein) (3) birth processes (a) definition of the pure birth process (b) derivation of the differential equations satisfied by the sequence (...
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exam_2_sg_m4320_f2010_v1_0 - Exam 2 study guide Math 4320...

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