Vertex degree of random geometric graph on exponentially distributed points
نویسندگان
چکیده
منابع مشابه
Vertex Degree of Random Geometric Graph on Exponentially Distributed Points
Let X1,X2, . . . be an infinite sequence of i.i.d. random vectors distributed exponentially with parameter λ. For each y and n ≥ 1, form a graph Gn(y) with vertex set Vn = {X1, . . . ,Xn}, two vertices are connected if and only if edge distance between them is greater then y, i.e, ‖Xi−Xj‖ ≤ y. Almost-sure asymptotic rates of convergence/divergence are obtained for the minimum and maximum vertex...
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ژورنال
عنوان ژورنال: Statistics & Probability Letters
سال: 2009
ISSN: 0167-7152
DOI: 10.1016/j.spl.2009.06.011