94 citations · 200 across the 15 of their papers we have counts for
4 papers · 2 filters
Renewal processes based on generalized Mittag--Leffler waiting times
Dexter O. Cahoy, Federico Polito
The fractional Poisson process has recently attracted experts from several fields of study. Its natural generalization of the ordinary Poisson process made the model more appealing…
Simulation and estimation for the fractional Yule process
Dexter O. Cahoy, Federico Polito
In this paper, we propose some representations of a generalized linear birth process called fractional Yule process (fYp). We also derive the probability distributions of the rando…
Transient behavior of fractional queues and related processes
Dexter O. Cahoy, Federico Polito, Vir V. Phoha
We propose a generalization of the classical M/M/1 queue process. The resulting model is derived by applying fractional derivative operators to a system of difference-differential…
On a fractional binomial process
Dexter O. Cahoy, Federico Polito
The classical binomial process has been studied by \citet{jakeman} (and the references therein) and has been used to characterize a series of radiation states in quantum optics. In…