CONVEX HULL OF A RANDOM SET OF POINTS
CONVEX HULL OF A RANDOM SET OF POINTS
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DOI：
10.1093/biomet/52.3-4.331
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发表时间：
1965-01-01
期刊：
影响因子：
2.7
通讯作者：
EFRON, B
中科院分区：
文献类型：
--
作者：
EFRON, B
对平面或空间中N个独立同分布随机点的凸船体的各种期望进行了估计。给出了期望面积、期望周长、期望概率内容和期望边数的积分表达式。这些积分被证明是特别简单的基本分布是正常的或均匀的磁盘或球体。
Various expectations concerning the convex hull ofNindependently and identically distributed random points in the plane or in space are evaluated. Integral expressions are given for the expected area, expected perimeter, expected probability content and expected number of sides. These integrals are shown to be particularly simple when the underlying distribution is normal or uniform over a disk or sphere.