Friedrich Götze, Andrei Yu. Zaitsev
Published 2018-02-19Version 1
The aim of the present work is to show that the results obtained earlier on the approximation of distributions of sums of independent terms by the accompanying compound Poisson laws may be interpreted as rather sharp quantitative estimates for the closeness between the sample containing independent observations of rare events and the Poisson point process which is obtained after a Poissonization of the initial sample.
Cones generated by random points on half-spheres and convex hulls of Poisson point processes
On the large time behaviour of the solution of an SDE driven by a Poisson Point Process
Lévy processes with marked jumps II : Application to a population model with mutations at birth
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