Cauchy cluster process

Mohammad Ghorbani ()

Metrika: International Journal for Theoretical and Applied Statistics, 2013, vol. 76, issue 5, 697-706

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

Keywords: Circular bivariate Cauchy distribution; $$K$$ -function; Minimum contrast; Pair correlation function; Simulation; Thomas process (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:spr:metrik:v:76:y:2013:i:5:p:697-706

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DOI: 10.1007/s00184-012-0411-y

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