The Use of Domination Number of a Random Proximity Catch Digraph for Testing Spatial Patterns of Segregation and Association

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dc.creatorCeyhan, E.
dc.creatorPriebe, C. E.
dc.date2008-02-05
dc.date.accessioned2026-07-07T09:18:51Z
dc.date.available2026-07-07T09:18:51Z
dc.descriptionPriebe et al. (2001) introduced the class cover catch digraphs and computed the distribution of the domination number of such digraphs for one dimensional data. In higher dimensions these calculations are extremely difficult due to the geometry of the proximity regions; and only upper-bounds are available. In this article, we introduce a new type of data-random proximity map and the associated (di)graph in $\mathbb R^d$. We find the asymptotic distribution of the domination number and use it for testing spatial point patterns of segregation and association.
dc.description13 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0802.0638
dc.identifierhttp://arxiv.org/abs/0802.0638
dc.identifierStatistics & Probability Letters (2005), 73, 37-50
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154174
dc.subjectMethodology
dc.subjectStatistics Theory
dc.titleThe Use of Domination Number of a Random Proximity Catch Digraph for Testing Spatial Patterns of Segregation and Association
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