2 citations · 3 across the 11 of their papers we have counts for
14 papers
Integrals of some compound processes
Fabrizio Cinque, Enzo Orsingher
By means of the theory of compound (non-homogenoeus) Poisson processes we define a general framework which includes most of the generalizations of the Poisson processes, both in th…
Interacting point processes
Fabrizio Cinque, Enzo Orsingher
We study two different types of vector point processes with interacting components, introducing a migration-type effect. The first case concerns two groups which modify their state…
Weak convergence of the integral of semi-Markov processes
Andrea Pedicone, Fabrizio Cinque
We study the asymptotic properties, in the weak sense, of regenerative processes and Markov renewal processes. For the latter, we derive both renewal-type results, also concerning…
Point processes of the Poisson-Skellam family
Fabrizio Cinque, Enzo Orsingher
We study a general non-homogeneous Skellam-type process with jumps of arbitrary fixed sizes. We express this process in terms of a linear combination of Poisson processes and study…
General Airy-type equations, heat-type equations and pseudo-processes
Fabrizio Cinque, Enzo Orsingher
We present a systematic study of higher-order Airy-type differential equations providing the explicit form of the solutions, deriving their power series expansions and a probabilis…
Higher-order fractional equations and related time-changed pseudo-processes
Fabrizio Cinque, Enzo Orsingher
We study Cauchy problems of fractional differential equations in both space and time variables by expressing the solution in terms of ``stochastic composition" of the solutions to…