activity
20072026
most citedOn the approximation of mean densities of random closed sets

25 citations · 41 across the 6 of their papers we have counts for

collaborators

6 papers

math.PR2026

Analysis of multivariate symbol statistics in primitive rational models

Massimiliano Goldwurm, Claudio Macci, Marco Vignati +1

We study the asymptotic behaviour of sequences of multivariate random variables representing the number of occurrences of a given set of symbols in a word of length generated a…

math.PR2021

Asymptotic results for families of power series distributions

Claudio Macci, Barbara Pacchiarotti, Elena Villa

In this paper we consider suitable families of power series distributed random variables, and we study their asymptotic behavior in the fashion of large (and moderate) deviations.…

math.ST2014★ 8 cited

On the local approximation of mean densities of random closed sets

Elena Villa

Mean density of lower dimensional random closed sets, as well as the mean boundary density of full dimensional random sets, and their estimation are of great interest in many real…

math.ST2010★ 25 cited

On the approximation of mean densities of random closed sets

Luigi Ambrosio, Vincenzo Capasso, Elena Villa

Many real phenomena may be modelled as random closed sets in , of different Hausdorff dimensions. In many real applications, such as fiber processes and -facets of…

math.PR2007

Mean density of inhomogeneous Boolean models with lower dimensional typical grain

Elena Villa

The mean density of a random closed set in with Hausdorff dimension is the Radon-Nikodym derivative of the expected measure $\E[\h^n(Θ\cap\cdot)]$ induced by wit…

math.PR2007★ 8 cited

A note on mean volume and surface densities for a class of birth-and-growth stochastic processes

Elena Villa

Many real phenomena may be modelled as locally finite unions of -dimensional time dependent random closed sets in , described by birth-and-growth stochastic proces…