activity
20182021
collaborators

5 papers

math.ST2021

Estimating the interaction graph of stochastic neuronal dynamics by observing only pairs of neurons

Emilio De Santis, Antonio Galves, Giovanna Nappo +1

We address the questions of identifying pairs of interacting neurons from the observation of their spiking activity. The neuronal network is modeled by a system of interacting poin…

math.PR2021

Diagonal sections of copulas, multivariate conditional hazard rates and distributions of order statistics for minimally stable lifetimes

Rachele Foschi, Giovanna Nappo, Fabio L. Spizzichino

As a motivating problem, we aim to study some special aspects of the marginal distributions of the order statistics for exchangeable and (more generally) for minimally stable non-n…

math.PR2019

Revisiting Relations between Stochastic Ageing and Dependence for Exchangeable Lifetimes with an Extension for the IFRA/DFRA Property

Giovanna Nappo, Fabio L. Spizzichino

We first review an approach that had been developed in the past years to introduce concepts of "bivariate ageing" for exchangeable lifetimes and to analyze mutual relations among s…

math.PR2018

Strong convergence of a positive preserving drift-implicit Euler scheme for the fixed delay CIR process

Federico Flore, Giovanna Nappo

In this paper, we consider a fixed delay Cox-Ingersoll-Ross process (CIR process) on the regime where it does not hit zero, the aim is to determine a positive preserving implicit E…

math.PR2018

A Feynman-Kac type formula for a fixed delay CIR model

Federico Flore, Giovanna Nappo

Stochastic delay differential equations (SDDE's) have been used for financial modeling. In this article, we study a SDDE obtained by the equation of a CIR process, with an addition…