CONTACT AND CHORD LENGTH DISTRIBUTIONS OF THE POISSON VORONOI TESSELLATION

被引：32

作者：

MUCHE, L

STOYAN, D

机构：

来源：

JOURNAL OF APPLIED PROBABILITY | 1992年 / 29卷 / 02期

关键词：

LINEAR CONTACT DISTRIBUTION; SPHERICAL CONTACT DISTRIBUTION;

D O I：

10.2307/3214584

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This paper presents the form of some characteristics of the Voronoi tessellation which is generated by a stationary Poisson process in R(d). Expressions are given for the spherical and linear contact distribution functions. These formulae lead to numerically tractable double-integral formulae for chord length probability density functions.

引用

页码：467 / 471

页数：5

共 8 条

[1]

BOOTS BN, 1987, VORONOI THIESSEN POL

[2] RANDOM SUBDIVISIONS OF SPACE INTO CRYSTALS [J].

GILBERT, EN .

ANNALS OF MATHEMATICAL STATISTICS, 1962, 33 (03) :958-&

[3]

Miles R. E., 1972, Advances in Applied Probability, P243, DOI 10.2307/1425985

[4]

Miles R.E., 1984, REV UNION MAT ARGENT, V29, P310

[5] RANDOM TESSELLATIONS IN RD [J].

MOLLER, J .

ADVANCES IN APPLIED PROBABILITY, 1989, 21 (01) :37-73

[6]

MUCHE L, 1990, KONTAKT SEHNENLANGEN

[7]

Serra J, 1982, IMAGE ANAL MATH MORP

[8]

Stoyan D., 1987, STOCHASTIC GEOMETRY

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