Normal approximation for coverage models over binomial point processes
Reference:
Goldstein, L. and Penrose, M. D., 2010. Normal approximation for coverage models over binomial point processes. Annals of Applied Probability, 20 (2), pp. 696-721.
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Official URL:
http://dx.doi.org/10.1214/09-aap634
Abstract
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.
Details
| Item Type | Articles |
| Creators | Goldstein, L.and Penrose, M. D. |
| DOI | 10.1214/09-aap634 |
| Uncontrolled Keywords | size biased coupling, stochastic geometry, berry-esseen theorem, coverage process, stein's method |
| Departments | Faculty of Science > Mathematical Sciences |
| Refereed | Yes |
| Status | Published |
| ID Code | 21544 |
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