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Cauchy cluster process

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  • Mohammad Ghorbani

Abstract

In this paper we introduce an instance of the well-know Neyman–Scott cluster process model with clusters having a long tail behaviour. In our model the offspring points are distributed around the parent points according to a circular Cauchy distribution. Using a modified Cramér-von Misses test statistic and the simulated pointwise envelopes it is shown that this model fits better than the Thomas process to the frequently analyzed long-leaf pine data-set. Copyright Springer-Verlag 2013

Suggested Citation

  • Mohammad Ghorbani, 2013. "Cauchy cluster process," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 76(5), pages 697-706, July.
    • Handle: RePEc:spr:metrik:v:76:y:2013:i:5:p:697-706
    DOI: 10.1007/s00184-012-0411-y
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    References listed on IDEAS

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    1. D. Stoyan, 1992. "Statistical estimation of model parameters of planar neyman-scott cluster processes," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 39(1), pages 67-74, December.
    2. Baddeley, Adrian & Turner, Rolf, 2005. "spatstat: An R Package for Analyzing Spatial Point Patterns," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 12(i06).
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    Cited by:

    1. Sung Nok Chiu & Kwong Ip Liu, 2013. "Stationarity Tests for Spatial Point Processes using Discrepancies," Biometrics, The International Biometric Society, vol. 69(2), pages 497-507, June.
    2. Ka Yiu Wong & Dietrich Stoyan, 2021. "Poles of pair correlation functions: When they are real?," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 73(2), pages 425-440, April.

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