Surface order scaling in stochastic geometry
نویسندگان
چکیده
منابع مشابه
Surface Order Scaling in Stochastic Geometry
Let Pλ := Pλκ denote a Poisson point process of intensity λκ on [0,1]d , d ≥ 2, with κ a bounded density on [0,1]d and λ ∈ (0,∞). Given a closed subset M⊂ [0,1]d of Hausdorff dimension (d−1), we consider general statistics ∑ x∈Pλ ξ(x,Pλ,M), where the score function ξ vanishes unless the input x is close to M and where ξ satisfies a weak spatial dependency condition. We give a rate of normal con...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 2015
ISSN: 1050-5164
DOI: 10.1214/13-aap992