Normal approximation for coverage models over binomial point processes

L Goldstein, Mathew D Penrose

Research output: Contribution to journalArticlepeer-review

16 Citations (SciVal)


We give error bounds which demonstrate optimal rates of convergence in the CLT for the total covered volume and the number of isolated shapes, for germ-grain models with fixed grain radius over a binomial point process of n points in a toroidal spatial region of volume n. The proof is based on Stein's method via size-biased couplings.
Original languageEnglish
Pages (from-to)696-721
Number of pages26
JournalAnnals of Applied Probability
Issue number2
Publication statusPublished - Apr 2010


  • size biased coupling
  • Stochastic geometry
  • Berry-Esseen theorem
  • coverage process
  • Stein's method


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