most citedMultivariate Poisson and Poisson process approximations with applications to Bernoulli sums and -statistics

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.PR2021★ 1 cited

Multivariate Poisson and Poisson process approximations with applications to Bernoulli sums and -statistics

Federico Pianoforte, Riccardo Turin

This article derives quantitative limit theorems for multivariate Poisson and Poisson process approximations. Employing the solution of Stein's equation for Poisson random variable…

math.PR2021

Poisson approximation with applications to stochastic geometry

Federico Pianoforte, Matthias Schulte

This article compares the distributions of integer-valued random variables and Poisson random variables. It considers the total variation and the Wasserstein distance and provides,…

math.PR2021

Criteria for Poisson process convergence with applications to inhomogeneous Poisson-Voronoi tessellations

Federico Pianoforte, Matthias Schulte

This article employs the relation between probabilities of two consecutive values of a Poisson random variable to derive conditions for the weak convergence of point processes to a…