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Tests for space-time clustering

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Stochastic Spatial Processes

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1212))

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References

  • Barbour, A.D. and Eagleson, G.K. (1983) Poisson approximation for some statistics based on exchangeable trials. Adv. Appl. Prob. 15, 585–600

    Article  MathSciNet  MATH  Google Scholar 

  • Barbour, A.D. and Eagleson, G.K. (1985) Multiple comparisons and sums of dissociated random variables. Adv. Appl. Prob.17, 147–162.

    Article  MathSciNet  MATH  Google Scholar 

  • Barbour, A.D. and Eagleson, G.K. (1985) The asymptotics of the permutation distribution of some measures of spatial correlation. Ann. Statist. (submitted).

    Google Scholar 

  • Barton, D.E. (unpublished manuscript).

    Google Scholar 

  • Cliff, A.D. and Ord, J.K. (1973) Spatial autocorrelation. Pion, London.

    Google Scholar 

  • Geary, R.C. (1954) The contiguity ratio and statistical mapping. The Incorporated Statistician 5, 115–145.

    Article  Google Scholar 

  • Gregory, G.G. (1977) Large sample theory for U-statistics and tests of fit. Ann. Statist. 5, 110–123.

    Article  MathSciNet  MATH  Google Scholar 

  • Knox, G. (1964) Epidemiology of childhood leukaemia in Northumberland and Durham. Brit. J. Prev. Soc. Med. 18, 17–24.

    Google Scholar 

  • Lehmann, E.L. (1975) Nonparametrics: statistical methods based on ranks. Holden Day, San Francisco.

    MATH  Google Scholar 

  • Mantel, N. (1967) The detection of disease clustering and a generalized regression approach. Cancer Research 27, 209–220.

    Google Scholar 

  • Moran, P.A.P. (1948) The interpretation of statistical maps. J. Roy. Statist. Soc. B, 10, 243–251.

    MathSciNet  MATH  Google Scholar 

  • Serfling, R.J. (1980) Approximation theorems of mathematical statistics. Wiley, New York.

    Book  MATH  Google Scholar 

  • Siemiatycki, J. (1978) Mantel's space-time clustering statistic: computing higher moments and a comparison of various data transforms. J. Statist. Comp. Simul. 7, 13–31.

    Article  Google Scholar 

  • Stein, C. (1970) A bound for the error in the normal approximation to the distribution of a sum of dependent random variables. Proc. VIth Berkley Symp. Math. Statist. Prob. 2, 583–602.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Zürich, CH-8001, Zuerich

    A. D. Barbour

  2. Avalon, N.S.W., Australia

    G. K. Eagleson

Authors
  1. A. D. Barbour
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  2. G. K. Eagleson
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Editor information

Petre Tautu

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© 1986 Springer-Verlag

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Barbour, A.D., Eagleson, G.K. (1986). Tests for space-time clustering. In: Tautu, P. (eds) Stochastic Spatial Processes. Lecture Notes in Mathematics, vol 1212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076236

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  • DOI: https://doi.org/10.1007/BFb0076236

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16803-4

  • Online ISBN: 978-3-540-47053-3

  • eBook Packages: Springer Book Archive

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