Density Estimation of Functionals of Spatial Point Processes with Application to Wireless Networks

نویسندگان

  • Nicolas Privault
  • Giovanni Luca Torrisi
چکیده

In this paper we provide a Monte Carlo algorithm for the density estimation of functionals of spatial point processes on Lipschitz domains with random marks, using the Malliavin calculus. Our method allows us to compute explicitly the Malliavin weight and is applied to density estimation of the interference in a wireless ad hoc network model. This extends and makes more precise some recent results of Privault and Wei [26] who dealt with the particular case of the half line and under stronger assumptions.

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عنوان ژورنال:
  • SIAM J. Math. Analysis

دوره 43  شماره 

صفحات  -

تاریخ انتشار 2011