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Volumn 42, Issue 4, 2010, Pages 913-935

Second-order properties and central limit theory for the vertex process of iteration infinitely divisible and iteration stable random tessellations in the plane

Author keywords

Central limit theorem; Covariance measure; Cross correlation; Iteration nesting; Markov process; Martingale; Pair correlation function; Random tessellation; Stochastic geometry; Stochastic stability

Indexed keywords

CENTRAL LIMIT THEOREM; COVARIANCE MEASURE; CROSS CORRELATIONS; ITERATION/NESTING; MARTINGALE; PAIR CORRELATION FUNCTIONS; RANDOM TESSELLATION; STOCHASTIC GEOMETRY; STOCHASTIC STABILITY;

EID: 78650960696     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1293113144     Document Type: Article
Times cited : (18)

References (16)
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  • 4
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    • Heinrich, L.1    Muche, L.2
  • 7
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    • A global construction of homogeneous random planar tessellations that are stable under iteration
    • Mecke, J., Nagel,W. andWeiss, V. (2008).A global construction of homogeneous random planar tessellations that are stable under iteration. Stochastics 80, 51-67.
    • (2008) Stochastics , vol.80 , pp. 51-67
    • Mecke, J.1    Nagel, W.2    Weiss, V.3
  • 8
    • 31944433780 scopus 로고    scopus 로고
    • Crack STIT tessellations: Characterization of stationary random tessellations stable with respect to iteration
    • Nagel, W. and Weiss, V. (2005). Crack STIT tessellations: Characterization of stationary random tessellations stable with respect to iteration. Adv. Appl. Prob. 37, 859-883.
    • (2005) Adv. Appl. Prob. , vol.37 , pp. 859-883
    • Nagel, W.1    Weiss, V.2
  • 9
    • 77950117125 scopus 로고    scopus 로고
    • STIT tessellations in the plane
    • Nagel, W. and Weiss, V. (2006). STIT tessellations in the plane. Rend. Circ. Mat. Palermo 77, 441-458.
    • (2006) Rend. Circ. Mat. Palermo , vol.77 , pp. 441-458
    • Nagel, W.1    Weiss, V.2
  • 12
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    • Typical geometry, second-order properties and central limit theory for iteration stable tessellations
    • Available at
    • Schreiber, T. and Thäle, C. (2010). Typical geometry, second-order properties and central limit theory for iteration stable tessellations. Preprint. Available at http://arxiv.org/abs/1001.0990v3.
    • (2010) Preprint
    • Schreiber, T.1    Thäle, C.2
  • 13
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    • Correlations between planar random structures, with an ecological application
    • Stoyan, D. and Ohser, J. (1982). Correlations between planar random structures, with an ecological application. Biometrical J. 24, 631-647.
    • (1982) Biometrical J. , vol.24 , pp. 631-647
    • Stoyan, D.1    Ohser, J.2
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    • Cross-correlation measures for weighted random measures and their estimation
    • Stoyan, D. and Ohser, J. (1985). Cross-correlation measures for weighted random measures and their estimation. Theory Prob. Appl. 29, 345-355.
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  • 16
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    • Second moment measure and K-function for planar STIT tessellations
    • Weiss, V., Ohser, J. and Nagel, W. (2010). Second moment measure and K-function for planar STIT tessellations. Image Anal. Stereology 29, 121-131.
    • (2010) Image Anal. Stereology , vol.29 , pp. 121-131
    • Weiss, V.1    Ohser, J.2    Nagel, W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.