We derive concentration inequalities for maxima of empirical processes associated with Poisson point processes. The proofs are based on a careful application of Ledoux's entropy method. We demonstrate the utility of the obtained concentration inequalities by application to adaptive intensity estimation.

中文翻译：

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泊松点过程的浓度不等式及其在自适应强度估计中的应用

我们推导出与泊松点过程相关的经验过程最大值的集中不等式。这些证明基于对 Ledoux 熵方法的仔细应用。我们通过应用于自适应强度估计来证明所获得的浓度不等式的效用。