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Volumn 32, Issue 1, 2000, Pages 67-74

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

(2)  Hayen, Andrew a   Quine, Malcolm a  

a NONE

Author keywords

Moments; Palm probability; Poisson; Tessellation; Triangle; Voronoi

Indexed keywords


EID: 0003049048     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0001867800009769     Document Type: Article
Times cited : (10)

References (14)
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    • Algorithm 698: DCUHRE: An adaptive multidimensional integration routine for a vector of integrals
    • BERNTSEN, J., ESPELID, T. O. AND GENZ, A. (1991b). Algorithm 698: DCUHRE: An adaptive multidimensional integration routine for a vector of integrals. ACM Trans. Math. Software 17, 452-456.
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    • Generation of the typical cell of a non-Poissonian Johnson-Mehl tesselation
    • HEINRICH, L. AND SCHÜLE, E. (1995). Generation of the typical cell of a non-Poissonian Johnson-Mehl tesselation. Comm. Statist. Stochastic Models 11, 541-560.
    • (1995) Comm. Statist. Stochastic Models , vol.11 , pp. 541-560
    • Heinrich, L.1    Schüle, E.2
  • 5
    • 84945017550 scopus 로고
    • Monte-Carlo estimates of the distributions of random polygons of the Voronoi tessellation with respect to a Poisson process
    • 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.
    • (1980) J. Statist. Comput. Simul. , vol.10 , pp. 205-223
    • Hinde, A.L.1    Miles, R.E.2
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    • 0003746585 scopus 로고
    • Interface area, edge length and number of vertices in crystal aggregates with random nucleation
    • MEIJERING, J. L. (1953). Interface area, edge length and number of vertices in crystal aggregates with random nucleation. Philips Res. Rept. 8, 270-290.
    • (1953) Philips Res. Rept. , vol.8 , pp. 270-290
    • Meijering, J.L.1
  • 7
    • 0000104988 scopus 로고
    • Random polygons determined by random lines in a plane
    • MILES, R. E. (1964). Random polygons determined by random lines in a plane. Proc. Natl. Acad. Sci. USA 52, 117-136.
    • (1964) Proc. Natl. Acad. Sci. USA , vol.52 , pp. 117-136
    • Miles, R.E.1
  • 8
    • 0002593765 scopus 로고
    • The basic structures of Voronoi and generalized Voronoi polygons
    • eds. J. Gani and E. J. Hannan (J. Appl. Prob. 19A). Applied Probability Trust, Sheffield
    • MILES, R. E. AND MAILLARDET, R. J. (1982). The basic structures of Voronoi and generalized Voronoi polygons. In Essays in Statistical Science, eds. J. Gani and E. J. Hannan (J. Appl. Prob. 19A). Applied Probability Trust, Sheffield, pp. 97-111.
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  • 11
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    • Radial generation of n-dimensional Poisson processes
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    • Quine, M.P.1    Watson, D.F.2
  • 14
    • 0020764432 scopus 로고
    • The proportion of quadrilaterals formed by random lines in a plane
    • TANNER, J. C. (1983). The proportion of quadrilaterals formed by random lines in a plane. J. Appl. Prob. 20, 400-404.
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    • Tanner, J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.