Contact distribution in a thinned Boolean model with power-law radii

نویسندگان

  • Yinghua Dong
  • Gennady Samorodnitsky
چکیده

We consider a weighted stationary spherical Boolean model in R. Assuming that the radii of the balls in the Boolean model have regularly varying tails, we establish the asymptotic behaviour of the tail of the contact distribution of the thinned germ-grain model under 4 different thinning procedures of the original model.

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عنوان ژورنال:
  • J. Applied Probability

دوره 54  شماره 

صفحات  -

تاریخ انتشار 2017