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 50 条

[1] CONTACT AND CHORD LENGTH DISTRIBUTIONS OF THE POISSON VORONOI TESSELLATION (VOL 29, PG 467, 1992)
MUCHE, L
STOYAN, D
JOURNAL OF APPLIED PROBABILITY, 1993, 30 (03) : 749 - 749
[2] CONTACT AND CHORD LENGTH DISTRIBUTION FUNCTIONS OF THE POISSON-VORONOI TESSELLATION IN HIGH DIMENSIONS
Muche, L.
ADVANCES IN APPLIED PROBABILITY, 2010, 42 (01) : 48 - 68
[3] Contact and chord length distribution of a stationary Voronoi tessellation
Heinrich, L
ADVANCES IN APPLIED PROBABILITY, 1998, 30 (03) : 603 - 618
[4] The sectional Poisson Voronoi tessellation is not a Voronoi tessellation
Chiu, SN
VandeWeygaert, R
Stoyan, D
ADVANCES IN APPLIED PROBABILITY, 1996, 28 (02) : 356 - 376
[5] A formula for the edge length distribution function of the Poisson Voronoi tessellation
Schlather, M
MATHEMATISCHE NACHRICHTEN, 2000, 214 : 113 - 119
[6] Conditional length distributions induced by the coverage of two points by a Poisson Voronoi tessellation: Application to a telecommunication model
Gloaguen, Catherine
APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, 2006, 22 (04) : 335 - 350
[7] CLUSTER SIZE DISTRIBUTIONS OF EXTREME VALUES FOR THE POISSON-VORONOI TESSELLATION
Chenavier, Nicolas
Robert, Christian Y.
ANNALS OF APPLIED PROBABILITY, 2018, 28 (06): : 3291 - 3323
[8] The Poisson Voronoi tessellation .2. Edge length distribution functions
Muche, L
MATHEMATISCHE NACHRICHTEN, 1996, 178 : 271 - 283
[9] Monte Carlo estimates of the distributions of sets generated by the random polygons of the Poisson Voronoi tessellation
Moussa, S
Moore, M
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 1999, 64 (03) : 251 - 273
[10] ON THE DILATED FACETS OF A POISSON-VORONOI TESSELLATION
Redenbach, Claudia
IMAGE ANALYSIS & STEREOLOGY, 2011, 30 (01): : 31 - 38

← 1 2 3 4 5 →