Search Results - "Polito, Federico"

Studies on generalized Yule models by Polito, Federico

“…We present a generalization of the Yule model for macroevolution in which, for the appearance of genera, we consider point processes with the order statistics…”
Get full text

Flexible models for overdispersed and underdispersed count data by Cahoy, Dexter, Di Nardo, Elvira, Polito, Federico

“…Within the framework of probability models for overdispersed count data, we propose the generalized fractional Poisson distribution (gfPd), which is a natural…”
Get full text

Biased Continuous-Time Random Walks with Mittag-Leffler Jumps by Michelitsch, Thomas M., Polito, Federico, Riascos, Alejandro P.

“…We construct admissible circulant Laplacian matrix functions as generators for strictly increasing random walks on the integer line. These Laplacian matrix…”
Get full text

On a fractional linear birth—death process by ORSINGHER, ENZO, POLITO, FEDERICO

“…In this paper, we introduce and examine a fractional linear birth—death process N v (t), t > 0, whose fractionality is obtained by replacing the time…”
Get full text

Semi-Markovian Discrete-Time Telegraph Process with Generalized Sibuya Waiting Times by Michelitsch, Thomas M., Polito, Federico, Riascos, Alejandro P.

“…In a recent work we introduced a semi-Markovian discrete-time generalization of the telegraph process. We referred to this random walk as the ‘squirrel random…”
Get full text

Hilfer–Prabhakar derivatives and some applications by Garra, Roberto, Gorenflo, Rudolf, Polito, Federico, Tomovski, Živorad

“…We present a generalization of Hilfer derivatives in which Riemann–Liouville integrals are replaced by more general Prabhakar integrals. We analyze and discuss…”
Get full text

The space-fractional Poisson process by Orsingher, Enzo, Polito, Federico

“…In this paper, we introduce the space-fractional Poisson process whose state probabilities pkα(t), t≥0, α∈(0,1], are governed by the equations…”
Get full text

Input-output consistency in integrate and fire interconnected neurons by Lansky, Petr, Polito, Federico, Sacerdote, Laura

“…•The class of regularly-varying random vectors is a possible choice to obtain input-output consistency.•The presence of dependency in the pooled input is…”
Get full text

A generalization of the space-fractional Poisson process and its connection to some Lévy processes by Polito, Federico, Scalas, Enrico

Get full text

On some operators involving Hadamard derivatives by Garra, Roberto, Polito, Federico

“…In this paper, we introduce a novel Mittag-Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard…”
Get full text

On discrete time Prabhakar-generalized fractional Poisson processes and related stochastic dynamics by Michelitsch, Thomas M., Polito, Federico, Riascos, Alejandro P.

“…Recently the so-called Prabhakar generalization of the fractional Poisson counting process attracted much interest for his flexibility to adapt to real world…”
Get full text

ON DISCRETE TIME GENERALIZED FRACTIONAL POISSON PROCESSES AND RELATED STOCHASTIC DYNAMICS by Michelitsch, Thomas, Polito, Federico, Riascos, Alejandro Perez

“…Recently the so-called Prabhakar generalization of the fractional Poisson counting process attracted much interest for his flexibility to adapt real world…”
Get full text

On dynamic random graphs with degree homogenization via anti-preferential attachment probabilities by De Ambroggio, Umberto, Polito, Federico, Sacerdote, Laura

“…We analyze a dynamic random undirected graph in which newly added vertices are connected to those already present in the graph either using, with probability…”
Get full text

On the continuous-time limit of the Barabási–Albert random graph by Pachon, Angelica, Polito, Federico, Sacerdote, Laura

“…•Relationships between Barabàsi–Albert random graph and Yule model are studied.•Continuous-time macroevolutionary models as limits of Barabàsi–Albert…”
Get full text

Fractional pure birth processes by ORSINGHER, ENZO, POLITO, FEDERICO

“…We consider a fractional version of the classical nonlinear birth process of which the Yule—Furry model is a particular case. Fractionality is obtained by…”
Get full text

Compositions, Random Sums and Continued Random Fractions of Poisson and Fractional Poisson Processes by Orsingher, Enzo, Polito, Federico

“…In this paper we consider the relation between random sums and compositions of different processes. In particular, for independent Poisson processes N α ( t ),…”
Get full text

A Note on Hadamard Fractional Differential Equations with Varying Coefficients and Their Applications in Probability by Garra, Roberto, Orsingher, Enzo, Polito, Federico

“…In this paper, we show several connections between special functions arising from generalized Conway-Maxwell-Poisson (COM-Poisson) type statistical…”
Get full text

Random Graphs Associated to Some Discrete and Continuous Time Preferential Attachment Models by Pachon, Angelica, Polito, Federico, Sacerdote, Laura

“…We give a common description of Simon, Barabási–Albert, II-PA and Price growth models, by introducing suitable random graph processes with preferential…”
Get full text

A fractional Hawkes process II: Further characterization of the process by Habyarimana, Cassien, Aduda, Jane A., Scalas, Enrico, Chen, Jing, Hawkes, Alan G., Polito, Federico

“…We characterize a Hawkes point process with kernel proportional to the probability density function of Mittag-Leffler random variables. This kernel decays as a…”
Get full text

Generalized Nonlinear Yule Models by Lansky, Petr, Polito, Federico, Sacerdote, Laura

“…With the aim of considering models related to random graphs growth exhibiting persistent memory, we propose a fractional nonlinear modification of the…”
Get full text