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

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