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20192021
most citedLarge deviations for conditionally Gaussian processes: estimates of level crossing probability

4 citations · 4 across the 1 of their papers we have counts for

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math.PR2021

Asymptotic results for linear combinations of spacings generated by i.i.d. exponential random variables

Camilla Calì, Maria Longobardi, Claudio Macci +1

We prove large (and moderate) deviations for a class of linear combinations of spacings generated by i.i.d. exponentially distributed random variables. We allow a wide class of coe…

math.PR2020

Large deviations for a class of tempered subordinators and their inverse processes

Nikolai Leonenko, Claudio Macci, Barbara Pacchiarotti

We consider a class of tempered subordinators, namely a class of subordinators with one-dimensional marginal tempered distributions which belong to a family studied in [3]. The mai…

math.PR2020

Pathwise asymptotics for Volterra processes conditioned to a noisy version of the Brownian motion

Barbara Pacchiarotti

In this paper we investigate a problem of large deviations for continuous Volterra processes under the influence of model disturbances. More precisely, we study the behavior, in th…

math.PR20194 cited

Large deviations for conditionally Gaussian processes: estimates of level crossing probability

Barbara Pacchiarotti, Alessandro Pigliacelli

The problem of (pathwise) large deviations for conditionally continuous Gaussian processes is investigated. The theory of large deviations for Gaussian processes is extended to the…

math.PR2019

Pathwise asymptotics for Volterra type stochastic volatility models

M. Cellupica, B. Pacchiarotti

We study stochastic volatility models in which the volatility process is a positive continuous function of a continuous Volterra stochastic process. We state some pathwise large de…