Calculating the proportion of triangles in a Poisson-Voronoi tessellation of the plane

Journal of Statistical Computation and Simulation

Volumn 67, Issue 4, 2000, Pages 351-358

  Hayen, Andrew ^a   Quine, Malcolm ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Fundamental region; Numerical integration; Palm probability; Poisson; Stochastic geometry; Tessellation; Triangle; Voronoi

Indexed keywords

EID: 0034349507     PISSN: 00949655     EISSN: None     Source Type: Journal    
DOI: 10.1080/00949650008812050     Document Type: Article

References (5)

1. Berntsen, J., Espelid, T. O. and Genz, A. (1991a) An adaptive algorithm for the approximate calculation of multiple integrals. Assoc. for Comput. Mach. Trans. on Math. Software, 17, 437-451.
2. Berntsen, J., Espelid, T. O. and Genz, A. (1991b) Algorithm 698: DCUHRE: An adaptive multidimensional integration routine for a vector of integrals. Assoc. for Comput. Mach. Trans. on Math. Software, 17, 452-456.
3. Hayen, A. and Quine, M. P. (2000) The proportion of triangles in a Poisson-Voronoi tessellation of the plane. Adv. Appl. Prob., 32, 67-74.
4. Hinde, A. L. and Miles, R. E. (1980) Monte-Carlo estimates of the distributions of random polygons of the Voronoi tessellation with respect to a Poisson process. J. Statist. Comput. Simul., 10, 205-223.
5. Zuyev, S. (1992) Estimates for distributions of the Voronoi polygon's geometric characteristics. Random Structures Algorithms, 3, 149-162.