Mathew Penrose ; Tom Rosoman - Error bounds in stochastic-geometric normal approximation

dmtcs:3557 - Discrete Mathematics & Theoretical Computer Science, January 1, 2008, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science - https://doi.org/10.46298/dmtcs.3557
Error bounds in stochastic-geometric normal approximationArticle

Authors: Mathew Penrose 1; Tom Rosoman 1

  • 1 Department of Mathematical Sciences [Bath]

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.

https://doi.org/10.46298/dmtcs.3557
Source: HAL:hal-01194682v1
Volume: DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science
Section: Proceedings
Published on: January 1, 2008
Imported on: May 10, 2017
Keywords: Central limit theorem,Berry Essèen bound,stochastic geometry,coverage process,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS],[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]

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