27 citations · 85 across the 17 of their papers we have counts for
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Compound Poisson process with a Poisson subordinator
Antonio Di Crescenzo, Barbara Martinucci, Shelemyahu Zacks
A compound Poisson process whose randomized time is an independent Poisson process is called compound Poisson process with Poisson subordinator. We provide its probability distribu…
A review on symmetry properties of birth-death processes
Antonio Di Crescenzo, Barbara Martinucci
In this paper we review some results on time-homogeneous birth-death processes. Specifically, for truncated birth-death processes with two absorbing or two reflecting endpoints, we…
A fractional counting process and its connection with the Poisson process
Antonio Di Crescenzo, Barbara Martinucci, Alessandra Meoli
We consider a fractional counting process with jumps of amplitude , with , whose probabilities satisfy a suitable system of fractional difference-dif…