The use of domination number of a random proximity catch digraph for testing spatial patterns of segregation and association

Elvan Ceyhan and Carey E. Priebe

Statistics & Probability Letters, 2005, vol. 73, issue 1, 37-50

Abstract: Priebe et al. (2001. Statist. Prob. Lett. 55, 239-246) 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 . We find the asymptotic distribution of the domination number and use it for testing spatial point patterns of segregation and association.

Keywords: Random; digraph; Domination; number; Proximity; map; Spatial; point; pattern; Segregation; Association; Delaunay; triangulation (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (5)

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