ON THE LARGE DEVIATION PROPERTY OF RANDOM MEASURES ON THE d-DIMENSIONAL EUCLIDEAN SPACE

Title & Authors
ON THE LARGE DEVIATION PROPERTY OF RANDOM MEASURES ON THE d-DIMENSIONAL EUCLIDEAN SPACE
Hwang, Dae-Sik;

Abstract
We give a formulation of the large deviation property for rescalings of random measures on the d-dimensional Euclidean space R$\small{^{d}}$ . The approach is global in the sense that the objects are Radon measures on R$\small{^{d}}$ and the dual objects are the continuous functions with compact support. This is applied to the cluster random measures with Poisson centers, a large class of random measures that includes the Poisson processes.
Keywords
large deviation property;random measure;Poisson point process;Poisson center cluster random measure;
Language
English
Cited by
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