ESTIMATES FOR DISTRIBUTIONS OF THE VORONOI POLYGONS GEOMETRIC CHARACTERISTICS

被引：17

作者：

ZUYEV, SA

机构：

[1] Department of Pure Mathematics, Moscow Forest Engineering Institute, Moscow

来源：

RANDOM STRUCTURES & ALGORITHMS | 1992年 / 3卷 / 02期

关键词：

D O I：

10.1002/rsa.3240030205

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

An exponential upper bound on the distribution of the Voronoi polygon having n hyperfaces is proved. Using a new integral formula for the Poisson process, the conditional distribution of volume of the fundamental region given n is found to be gamma distribution. This yields an upper bound on distribution of the polygon's volume.

引用

页码：149 / 162

页数：14

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