42 citations · 55 across the 5 of their papers we have counts for
6 papers
Noncentral moderate deviations for time-changed Lévy processes with inverse of stable subordinators
Antonella Iuliano, Claudio Macci, Alessandra Meoli
In this paper we present some extensions of recent noncentral moderate deviation results in the literature. In the first part we generalize the results in \cite{BeghinMacciSPL2022}…
Bivariate Tempered Space-Fractional Poisson Process and Shock Models
Ritik Soni, Ashok Kumar Pathak, Antonio Di Crescenzo +1
In this paper, we introduce a bivariate tempered space-fractional Poisson process (BTSFPP) by time-changing the bivariate Poisson process with an independent tempered -stable su…
Cumulative Information Generating Function and Generalized Gini Functions
Marco Capaldo, Antonio Di Crescenzo, Alessandra Meoli
We introduce and study the cumulative information generating function, which provides a unifying mathematical tool suitable to deal with classical and fractional entropies based on…
Fractional generalized cumulative entropy and its dynamic version
Antonio Di Crescenzo, Suchandan Kayal, Alessandra Meoli
Following the theory of information measures based on the cumulative distribution function, we propose the fractional generalized cumulative entropy, and its dynamic version. These…
On the fractional probabilistic Taylor's and mean value theorems
Antonio Di Crescenzo, Alessandra Meoli
In order to develop certain fractional probabilistic analogues of Taylor's theorem and mean value theorem, we introduce the nth-order fractional equilibrium distribution in terms o…
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…