메뉴 건너뛰기




Volumn 17, Issue , 2013, Pages 767-788

Testing randomness of spatial point patterns with the ripley statistic

Author keywords

Central limit theorem; Goodness of fit test; H ffding decomposition; K function; Point pattern; Poisson process; U statistic

Indexed keywords


EID: 84996129994     PISSN: 12928100     EISSN: 12623318     Source Type: Journal    
DOI: 10.1051/ps/2012027     Document Type: Article
Times cited : (22)

References (30)
  • 2
    • 69849093930 scopus 로고    scopus 로고
    • Dependent Lindeberg central limit theorem and some applications
    • J-M. Bardet, P. Doukhan, G. Lang and N. Ragache, Dependent Lindeberg central limit theorem and some applications. ESAIM: PS 12 (2008) 154-172.
    • (2008) ESAIM: PS , vol.12 , pp. 154-172
    • Bardet, J.-M.1    Doukhan, P.2    Lang, G.3    Ragache, N.4
  • 3
    • 0041385760 scopus 로고
    • Quelques remarques sur le theoreme limite Liapounoff
    • S. Bernstein, Quelques remarques sur le theoreme limite Liapounoff. C.R. (Dokl.) Acad. Sci. URSS 24 (1939) 3-8.
    • (1939) C.R. (Dokl.) Acad. Sci. URSS , vol.24 , pp. 3-8
    • Bernstein, S.1
  • 4
  • 5
    • 35648947937 scopus 로고    scopus 로고
    • Correction to Koen’s critical values in testing spatial randomness
    • S.N. Chiu, Correction to Koen’s critical values in testing spatial randomness. J. Stat. Comput. Simul. 77 (2007) 1001-1004.
    • (2007) J. Stat. Comput. Simul. , vol.77 , pp. 1001-1004
    • Chiu, S.N.1
  • 6
    • 67349267793 scopus 로고    scopus 로고
    • Generalized Cramer-von Mises goodness-of-fit tests for multivariate distributions
    • S.N. Chiu and K.I. Liu, Generalized Cramer-von Mises goodness-of-fit tests for multivariate distributions. Comput. Stat. Data Anal. 53 (2009) 3817-3834.
    • (2009) Comput. Stat. Data Anal. , vol.53 , pp. 3817-3834
    • Chiu, S.N.1    Liu, K.I.2
  • 9
    • 79251496979 scopus 로고    scopus 로고
    • Adaptive tests of homogeneity for a Poisson process
    • M. Fromont, B. Laurent and P. Reynaud-Bouret, Adaptive tests of homogeneity for a Poisson process. Ann. I.H.P. (B) 47 (2011) 176-213.
    • (2011) Ann. I.H.P. (B) , vol.47 , pp. 176-213
    • Fromont, M.1    Laurent, B.2    Reynaud-Bouret, P.3
  • 10
    • 0038198024 scopus 로고    scopus 로고
    • Goodness-of-fit test for complete spatial randomness against mixtures of regular and clustured spatial point processes
    • P. Grabarnik and S.N. Chiu, Goodness-of-fit test for complete spatial randomness against mixtures of regular and clustured spatial point processes. Biometrika 89 (2002) 411-421.
    • (2002) Biometrika , vol.89 , pp. 411-421
    • Grabarnik, P.1    Chiu, S.N.2
  • 11
    • 0032910131 scopus 로고    scopus 로고
    • Comparing the performances of Diggle’s tests of spatial randomness for small samples with and without edge effect correction: Application to ecological data
    • J. Gignoux, C. Duby and S. Barot, Comparing the performances of Diggle’s tests of spatial randomness for small samples with and without edge effect correction: application to ecological data. Biometrics 55 (1999) 156-164.
    • (1999) Biometrics , vol.55 , pp. 156-164
    • Gignoux, J.1    Duby, C.2    Barot, S.3
  • 12
    • 74049151068 scopus 로고    scopus 로고
    • On nonparametric variance estimation for second-order statistics of inhomogeneous spatial point Processes with a known parametric intensity form
    • Y. Guan, On nonparametric variance estimation for second-order statistics of inhomogeneous spatial point Processes with a known parametric intensity form. J. Am. Stat. Ass. 104 (2009) 1482-1491.
    • (2009) J. Am. Stat. Ass. , vol.104 , pp. 1482-1491
    • Guan, Y.1
  • 13
    • 34250765698 scopus 로고    scopus 로고
    • Testing Uniformity of a Spatial Point Pattern
    • L.P. Ho and S.N. Chiu, Testing Uniformity of a Spatial Point Pattern. J. Comput. Graph. Stat. 16 2 (2007) 378-398.
    • (2007) J. Comput. Graph. Stat. , vol.16 , Issue.2 , pp. 378-398
    • Ho, L.P.1    Chiu, S.N.2
  • 14
    • 84963197813 scopus 로고
    • Goodness-of-fit tests for the second moment function of a stationary multidimensional Poisson process
    • L. Heinrich, Goodness-of-fit tests for the second moment function of a stationary multidimensional Poisson process. Statistics 22 (1991) 245-268.
    • (1991) Statistics , vol.22 , pp. 245-268
    • Heinrich, L.1
  • 16
    • 84982024031 scopus 로고
    • Approximate confidence bounds for Ripley’s statistic for random points in a square
    • C. Koen, Approximate confidence bounds for Ripley’s statistic for random points in a square. Biom. J. 33 (1991) 173-177.
    • (1991) Biom. J. , vol.33 , pp. 173-177
    • Koen, C.1
  • 17
    • 0142027654 scopus 로고    scopus 로고
    • Evaluating the geographic concentration of industries using distance-based methods
    • E. Marcon and F. Puech, Evaluating the geographic concentration of industries using distance-based methods. J. Econom. Geogr. 3 (2003) 409-428.
    • (2003) J. Econom. Geogr. , vol.3 , pp. 409-428
    • Marcon, E.1    Puech, F.2
  • 18
    • 25444454946 scopus 로고    scopus 로고
    • Statistical inference and simulation for spatial point processes
    • Chapman and Hall/CRC, Boca Raton
    • J. Mpller and R.P. Waagepetersen, Statistical inference and simulation for spatial point processes, vol. 100 of Monographs on statistics and applied probability. Chapman and Hall/CRC, Boca Raton (2004).
    • (2004) Monographs on Statistics and Applied Probability , vol.100
    • Mpller, J.1    Waagepetersen, R.P.2
  • 20
    • 0000313850 scopus 로고
    • The second-order analysis of stationary point processes
    • B.D. Ripley, The second-order analysis of stationary point processes. J. Appl. Probab. 13 (1976) 255-266.
    • (1976) J. Appl. Probab. , vol.13 , pp. 255-266
    • Ripley, B.D.1
  • 21
    • 0000135848 scopus 로고
    • Modelling spatial patterns
    • B.D. Ripley, Modelling spatial patterns. J. Roy. Statist. Soc. Ser. B 39 2 (1977) 172-212.
    • (1977) J. Roy. Statist. Soc. Ser. B , vol.39 , Issue.2 , pp. 172-212
    • Ripley, B.D.1
  • 22
    • 0000135847 scopus 로고
    • Tests of randomness for spatial point patterns
    • B.D. Ripley, Tests of randomness for spatial point patterns. J. Roy. Statist. Soc. Ser. B 41 3 (1979) 368-374.
    • (1979) J. Roy. Statist. Soc. Ser. B , vol.41 , Issue.3 , pp. 368-374
    • Ripley, B.D.1
  • 24
    • 0001602443 scopus 로고
    • Poisson limits for a clustering model of Strauss
    • R. Saunders and G.M. Funk, Poisson limits for a clustering model of Strauss. J. Appl. Probab. 14 (1977) 776-784.
    • (1977) J. Appl. Probab. , vol.14 , pp. 776-784
    • Saunders, R.1    Funk, G.M.2
  • 27
    • 0035099115 scopus 로고    scopus 로고
    • The K function for nearly regular point processes
    • C.C. Taylor, I.L. Dryden and R. Farnoosh, The K function for nearly regular point processes. Biometrics 57 (2000) 224-231.
    • (2000) Biometrics , vol.57 , pp. 224-231
    • Taylor, C.C.1    Dryden, I.L.2    Farnoosh, R.3
  • 28
    • 0001840150 scopus 로고
    • A generalization of Poisson’s binomial limit for use in ecology
    • M. Thomas, A generalization of Poisson’s binomial limit for use in ecology. Biometrika 36 (1949) 18-25.
    • (1949) Biometrika , vol.36 , pp. 18-25
    • Thomas, M.1
  • 29
    • 0038933012 scopus 로고    scopus 로고
    • A comparative study on the power of van Lieshout and Baddeley’s J function
    • E. Thonnes and M.-C. van Lieshout, A comparative study on the power of van Lieshout and Baddeley’s J function. Biom. J. 41 (1999) 721-734.
    • (1999) Biom. J. , vol.41 , pp. 721-734
    • Thonnes, E.1    Van Lieshout, M.-C.2
  • 30
    • 0033559667 scopus 로고    scopus 로고
    • New derivation reduces bias and increases power of Ripley’s L index
    • J.S. Ward and F.J. Ferrandino, New derivation reduces bias and increases power of Ripley’s L index. Ecological Modelling 116 (1999) 225-236.
    • (1999) Ecological Modelling , vol.116 , pp. 225-236
    • Ward, J.S.1    Ferrandino, F.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.