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Conference Papers Discrete Mathematics and Theoretical Computer Science Year : 2008

Error bounds in stochastic-geometric normal approximation

Abstract

We provide normal approximation error bounds for sums of the form $\sum_x \xi_x$, indexed by the points $x$ of a Poisson process (not necessarily homogeneous) in the unit $d$-cube, with each term $\xi_x$ determined by the configuration of Poisson points near to $x$ in some sense. We consider geometric graphs and coverage processes as examples of our general results.
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Dates and versions

hal-01194682 , version 1 (07-09-2015)

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Mathew D. Penrose, Tom Rosoman. Error bounds in stochastic-geometric normal approximation. Fifth Colloquium on Mathematics and Computer Science, 2008, Kiel, Germany. pp.71-94, ⟨10.46298/dmtcs.3557⟩. ⟨hal-01194682⟩

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