On the moment distance of Poisson processes
نویسندگان
چکیده
منابع مشابه
On the moment distance of Poisson processes
Consider the distance between two i.i.d. Poisson processes with arrival rate λ > 0 and respective arrival times X1, X2, . . . and Y1, Y2, . . . on a line. We give a closed analytical formula for the E [|Xk+r − Yk|] , for any integer k ≥ 1, r ≥ 0, when a is natural number. The expected distance to the power a between two i.i.d. Poisson processes we represent as the combination of the Pochhammer ...
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In this article we survey properties of mixed Poisson distributions and probabilistic aspects of the Stirling transform: given a non-negative random variable X with moment sequence (μs)s∈N we determine a discrete random variable Y , whose moment sequence is given by the Stirling transform of the sequence (μs)s∈N, and identify the distribution as a mixed Poisson distribution. We discuss properti...
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ژورنال
عنوان ژورنال: Communications in Statistics - Theory and Methods
سال: 2017
ISSN: 0361-0926,1532-415X
DOI: 10.1080/03610926.2017.1406114