Pianoforte, FedericoFedericoPianoforteSchulte, MatthiasMatthiasSchulte2022-03-072022-03-072022-02-07Stochastic Processes and their Applications 147: 388-422 (2022-05-01)http://hdl.handle.net/11420/11789This 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 Poisson process. As applications, we consider the starting points of k-runs in a sequence of Bernoulli random variables, point processes constructed using inradii and circumscribed radii of inhomogeneous Poisson–Voronoi tessellations and large nearest neighbor distances in a Boolean model of disks.en0304-4149Stochastic processes and their applications2022388422Elsevierhttps://creativecommons.org/licenses/by-nc-nd/4.0/Boolean modelExtremesInhomogeneous Poisson–Voronoi tessellationLocal dependencePoisson process convergenceStochastic geometryMathematikCriteria for Poisson process convergence with applications to inhomogeneous Poisson–Voronoi tessellationsJournal Article10.15480/882.419810.1016/j.spa.2022.01.02010.15480/882.4198Other