Large deviation probabilities for the number of vertices of random polytopes in the ball
2006 ◽
Vol 38
(01)
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pp. 47-58
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Keyword(s):
In this paper we establish large deviation results on the number of extreme points of a homogeneous Poisson point process in the unit ball of R d . In particular, we deduce an almost-sure law of large numbers in any dimension. As an auxiliary result we prove strong localization of the extreme points in an annulus near the boundary of the ball.
2006 ◽
Vol 38
(1)
◽
pp. 47-58
◽
Keyword(s):
Keyword(s):
2010 ◽
Vol 47
(04)
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pp. 908-922
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2014 ◽
Vol 23
(6)
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pp. 973-1009
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1989 ◽
Vol 81
(2)
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pp. 213-233
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Keyword(s):
2008 ◽
Vol 11
(02)
◽
pp. 213-229
Keyword(s):