稳定和Palm耦合下的泊松过程近似

Annales Henri Lebesgue Pub Date : 2021-04-27 DOI:10.5802/ahl.156

O. Bobrowski, Matthias Schulte, D. Yogeshwaran

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引用次数: 14

摘要

．给出了泊松和二项式点过程稳定泛函的新的泊松过程近似结果。这些函数被允许具有无限的相互作用范围，并包含随机几何中的许多例子。我们的边界是用生成器方法得到的

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Poisson process approximation under stabilization and Palm coupling

. — We present new Poisson process approximation results for stabilizing functionals of Poisson and binomial point processes. These functionals are allowed to have an unbounded range of interaction and encompass many examples in stochastic geometry. Our bounds are derived for the Kantorovich–Rubinstein distance using the generator approach to

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Annales Henri Lebesgue

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