Areas of components of a Voronoi polygon in a homogeneous Poisson process in the plane

Advances in Applied Probability

Volumn 34, Issue 2, 2002, Pages 281-291

  Hayen, A ^a   Quine, Malcolm P ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Distribution function; Moments; Poisson; Tessellation; Voronoi

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; FUNCTIONS; INTEGRATION; METHOD OF MOMENTS;

VORONOI POLYGONS;

POISSON DISTRIBUTION;

EID: 0036612844     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1025131218     Document Type: Article

References (12)

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3. Random subdivisions of space into crystals
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5. Calculating the proportion of triangles in a Poisson-Voronoi tessellation of the plane
6. On the homogeneous planar Poisson process
7. A synopsis of Poisson flats in Euclidean spaces
8. The basic structures of Voronoi and generalized Voronoi polygons
9. Radial generation of n-dimensional Poisson processes