Error bounds in stochastic-geometric normal approximation
Mathew D. Penrose, Tom Rosoman
Abstract
We provide normal approximation error bounds for sums of the form Σx ξx, indexed by the points x of a Poisson process (not necessarily homogeneous) in the unit d-cube, with each term ξx 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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