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Volumn 49, Issue 3-5, 2012, Pages 285-306

A central limit theorem for the Poisson-Voronoi approximation

Author keywords

Central limit theorem; Poisson point process; Poisson Voronoi approximation; Random tessellation; Set reconstruction; Stochastic geometry; Wiener It chaos expansion

Indexed keywords

CENTRAL LIMIT THEOREM; CHAOS EXPANSIONS; POISSON POINT PROCESS; POISSON-VORONOI APPROXIMATION; RANDOM TESSELLATION; SET-RECONSTRUCTION; STOCHASTIC GEOMETRY;

EID: 84867847132     PISSN: 01968858     EISSN: 10902074     Source Type: Journal    
DOI: 10.1016/j.aam.2012.08.001     Document Type: Article
Times cited : (32)

References (14)
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    • Einmahl, J.H.J.1    Khmaladze, E.V.2
  • 5
    • 79952897621 scopus 로고    scopus 로고
    • Poisson process Fock space representation, chaos expansion and covariance inequalities
    • G. Last, and M.D. Penrose Poisson process Fock space representation, chaos expansion and covariance inequalities Probab. Theory Related Fields 150 2011 663 690
    • (2011) Probab. Theory Related Fields , vol.150 , pp. 663-690
    • Last, G.1    Penrose, M.D.2
  • 6
    • 77953608052 scopus 로고    scopus 로고
    • Steins method and normal approximation of Poisson functionals
    • G. Peccati, J.L. Solé, M.S. Taqqu, and F. Utzet Steins method and normal approximation of Poisson functionals Ann. Probab. 38 2010 443 478
    • (2010) Ann. Probab. , vol.38 , pp. 443-478
    • Peccati, G.1    Solé, J.L.2    Taqqu, M.S.3    Utzet, F.4
  • 8
    • 47249090814 scopus 로고    scopus 로고
    • Laws of large numbers in stochastic geometry with statistical applications
    • M.D. Penrose Laws of large numbers in stochastic geometry with statistical applications Bernoulli 13 2007 1124 1150
    • (2007) Bernoulli , vol.13 , pp. 1124-1150
    • Penrose, M.D.1
  • 13
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    • The convex floating body
    • C. Schütt, and E. Werner The convex floating body Math. Scand. 66 1990 275 290
    • (1990) Math. Scand. , vol.66 , pp. 275-290
    • Schütt, C.1    Werner, E.2
  • 14
    • 0000180793 scopus 로고
    • On multiple Poisson stochastic integrals and associated Markov semigroups
    • D. Surgailis On multiple Poisson stochastic integrals and associated Markov semigroups Probab. Math. Statist. 3 1984 217 239
    • (1984) Probab. Math. Statist. , vol.3 , pp. 217-239
    • Surgailis, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.