泊松点过程的若干大偏差估计

Several Large Deviation Estimations for the Poisson Point Processes

本文给出泊松点过程下列三种极限行为的大偏差估计：（１）高密度情形；（２）低密度情形（Ｓｃｈｉｌｄｅｒ定理在泊松情形的翻版）和（３）标度变换下极限情形。

we obtain in this paper the large deviation estimations for the Poisson point processes the following three limit behavior:(1) high density behavior;(2) low denl1sity behavfor(a counterpart of Schilder’s theorem in the Poissoll case) and(3)scaling Iimt behavior.