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Compositions, Random Sums and Continued Random Fractions of Poisson and Fractional Poisson Processes
Fractional birth process Bell polynomials Mittag–Leffler functions Fibonacci numbers continued fractions Poisson random fields
2011/9/8
Abstract: In this paper we consider the relation between random sums and compositions of different processes. In particular, for independent Poisson processes $N_\alpha(t)$, $N_\beta(t)$, $t>0$, we sh...