Contact distribution in a thinned Boolean model with power law radii
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Author
Dong, Yinghua
Samorodnitsky, Gennady
Abstract
We consider a weighted stationary spherical Boolean model in R^d. 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.
Sponsorship
Dong's research was partially supported by Jiangsu Planned
Projects for Postdoctoral Research Funds (No. 1501053A) , the
Statistical Scientific Research Program of National Bureau of
Statistics of China (No. 2015LY83) and the foundation of Nanjing
University of Information Science and Technology (No. 2014x026).
Samorodnitsky's research was partially supported by the ARO
grant W911NF-12-10385 and by the NSF grant DMS-1506783
at Cornell University.
Projects for Postdoctoral Research Funds (No. 1501053A) , the
Statistical Scientific Research Program of National Bureau of
Statistics of China (No. 2015LY83) and the foundation of Nanjing
University of Information Science and Technology (No. 2014x026).
Samorodnitsky's research was partially supported by the ARO
grant W911NF-12-10385 and by the NSF grant DMS-1506783
at Cornell University.
Date Issued
2016-03
Keywords
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
Type
technical report