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.
Original language | English |
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Journal | Metrika |
Volume | 76 |
Issue number | 5 |
Pages (from-to) | 697-706 |
Number of pages | 10 |
ISSN | 0026-1335 |
DOIs | |
Publication status | Published - Jul 2013 |