• Corpus ID: 254246816

Poisson hulls

@inproceedings{Last2022PoissonH,
  title={Poisson hulls},
  author={Gunter Last and Ilya Molchanov},
  year={2022}
}
: We introduce a hull operator on Poisson point processes, the easiest example being the convex hull of the support of a point process in Euclidean space. Assuming that the intensity measure of the process is known on the set generated by the hull operator, we discuss estimation of the expected linear statistics built on the Poisson process. In special cases, our general scheme yields an estimator of the volume of a convex body or an estimator of an integral of a H¨older function. We show that… 
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