Limit theory for point processes in manifolds
نویسندگان
چکیده
منابع مشابه
Limit theory for point processes in manifolds
Let Yi, i ≥ 1, be i.i.d. random variables having values in an m-dimensional manifold M ⊂ Rd and consider sums ni=1 ξ(nYi, {nYi}i=1), where ξ is a real valued function defined on pairs (y,Y), with y ∈ Rd and Y ⊂ Rd locally finite. Subject to ξ satisfying a weak spatial dependence and continuity condition, we show that such sums satisfy weak laws of large numbers, variance asymptotics, and centra...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 2013
ISSN: 1050-5164
DOI: 10.1214/12-aap897