On random divisions of a convex set
Keyword(s):
This paper gives an elementary proof that, under some general assumptions, the number of parts a convex set in Rd is divided into by a set of independent identically distributed hyperplanes is asymptotically normally distributed. An example is given where the distribution of hyperplanes is ‘too singular' to satisfy the assumptions, and where a different limiting distribution appears.
1978 ◽
Vol 15
(03)
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pp. 645-649
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2021 ◽
Vol 73
(1)
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pp. 62-67
1978 ◽
Vol 15
(03)
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pp. 639-644
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2019 ◽
Vol 09
(04)
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pp. 2150004
1991 ◽
Vol 5
(1)
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pp. 53-59
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1968 ◽
Vol 78
(2, Pt.1)
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pp. 269-275
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1991 ◽
Vol 11
(3)
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pp. 356-360
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1972 ◽
Vol 28
(03)
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pp. 447-456
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