대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제17권1호
  • /
  • Pages.71-80
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  • 2002
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON THE LARGE DEVIATION PROPERTY OF RANDOM MEASURES ON THE d-DIMENSIONAL EUCLIDEAN SPACE

  • Hwang, Dae-Sik (Department of Mathematics, Faculty Board, Air Force Academy)
  • 발행 : 2002.01.01
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초록

We give a formulation of the large deviation property for rescalings of random measures on the d-dimensional Euclidean space R$^{d}$ . The approach is global in the sense that the objects are Radon measures on R$^{d}$ 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.

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참고문헌

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