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A computational approach to first-passage-time problems for Gauss–Markov processes
E Di Nardo, AG Nobile, E Pirozzi, LM Ricciardi
Advances in Applied Probability 33 (2), 453-482, 2001
1532001
The first passage time problem for Gauss-diffusion processes: Algorithmic approaches and applications to LIF neuronal model
A Buonocore, L Caputo, E Pirozzi, LM Ricciardi
Methodology and Computing in Applied Probability 13, 29-57, 2011
522011
On a stochastic leaky integrate-and-fire neuronal model
A Buonocore, L Caputo, E Pirozzi, LM Ricciardi
Neural computation 22 (10), 2558-2585, 2010
352010
Restricted Ornstein–Uhlenbeck process and applications in neuronal models with periodic input signals
A Buonocore, L Caputo, AG Nobile, E Pirozzi
Journal of Computational and Applied Mathematics 285, 59-71, 2015
332015
A leaky integrate-and-fire model with adaptation for the generation of a spike train
A Buonocore, L Caputo, E Pirozzi, MF Carfora
Mathematical Biosciences & Engineering 13 (3), 483-493, 2015
312015
Asymptotics and evaluations of FPT densities through varying boundaries for Gauss-Markov processes
AG Nobile, E Pirozzi, LM Ricciardi
Scientiae Mathematicae Japonicae 67 (2), 241-266, 2008
312008
Colored noise and a stochastic fractional model for correlated inputs and adaptation in neuronal firing
E Pirozzi
Biological cybernetics 112, 25-39, 2018
282018
On two diffusion neuronal models with multiplicative noise: The mean first-passage time properties
G D'Onofrio, P Lansky, E Pirozzi
Chaos: An Interdisciplinary Journal of Nonlinear Science 28 (4), 2018
272018
A note on the sum of uniform random variables
A Buonocore, E Pirozzi, L Caputo
Statistics & probability letters 79 (19), 2092-2097, 2009
272009
Gauss-diffusion processes for modeling the dynamics of a couple of interacting neurons
A Buonocore, L Caputo, E Pirozzi, MF Carfora
Mathematical Biosciences & Engineering 11 (2), 189-201, 2013
252013
Gauss–Markov processes in the presence of a reflecting boundary and applications in neuronal models
A Buonocore, L Caputo, AG Nobile, E Pirozzi
Applied Mathematics and Computation 232, 799-809, 2014
242014
Fractional Ornstein-Uhlenbeck process with stochastic forcing, and its applications
G Ascione, Y Mishura, E Pirozzi
Methodology and Computing in Applied Probability 23, 53-84, 2021
232021
Successive spike times predicted by a stochastic neuronal model with a variable input signal
G D'Onofrio, E Pirozzi
Mathematical Biosciences and Engineering 13 (3), 495-507, 2016
232016
Fractional queues with catastrophes and their transient behaviour
G Ascione, N Leonenko, E Pirozzi
Mathematics 6 (9), 159, 2018
212018
Closed-form solutions for the first-passage-time problem and neuronal modeling
A Buonocore, L Caputo, G D˘Onofrio, E Pirozzi
Ricerche di Matematica 64, 421-439, 2015
212015
On the exit time from open sets of some semi-Markov processes
G Ascione, E Pirozzi, B Toaldo
202020
A state-dependent queueing system with asymptotic logarithmic distribution
V Giorno, AG Nobile, E Pirozzi
Journal of Mathematical Analysis and Applications 458 (2), 949-966, 2018
182018
Simulation of Gaussian processes and first passage time densities evaluation
E Di Nardo, AG Nobile, E Pirozzi, LM Ricciardi, S Rinaldi
International Conference on Computer Aided Systems Theory, 319-333, 1999
181999
Fractional Erlang queues
G Ascione, N Leonenko, E Pirozzi
Stochastic Processes and their Applications 130 (6), 3249-3276, 2020
162020
Integrated stationary Ornstein–Uhlenbeck Process, and double integral processes
M Abundo, E Pirozzi
Physica A: Statistical Mechanics and its Applications 494, 265-275, 2018
162018
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