130 citations · 184 across the 34 of their papers we have counts for
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math.PR2014
Space-fractional versions of the negative binomial and Polya-type processes
L. Beghin, P. Vellaisamy
In this paper, we introduce a space fractional negative binomial (SFNB) process by subordinating the space fractional Poisson process to a gamma subordinator. Its one-dimensional d…
math.PR2014
Correlated fractional counting processes on a finite time interval
Luisa Beghin, Roberto Garra, Claudio Macci
We present some correlated fractional counting processes on a finite time interval. This will be done by considering a slight generalization of the processes in Borges et al. (2012…
math.PR2014
Fractional Poisson process with random drift
Luisa Beghin, Mirko D'Ovidio
We study the connection between PDEs and Lévy processes running with clocks given by time-changed Poisson processes with stochastic drifts. The random times we deal with are theref…