A test for multidimensional clustering tendency
type: Item
instance of: scholarly article
title: A test for multidimensional clustering tendency
zbMATH Open document ID: 0557.68057
DOI: 10.1016/0031-3203(83)90066-3
author: E. Panayırcı
author: Richard C. Dubes
published in: Pattern Recognition
publication date: 1983-01-01T00:00:00Z
review text: A multidimensional extension of the Cox-Lewis statistic for testing clustering tendency among random, aggregated and regular arrangements of points is considered. The distribution of the statistic is examined under the randomness hypothesis of a Poisson spatial point process. The probability densities of the Cox-Lewis statistic are given under lattice- regularity and under extreme clustering. The former is defined by the ''patterns filling a lattice of side a'', while the latter is a modification of the Thomas process. Invoking the central limit theorem, it is possible to develop the Neyman-Pearson tests based on Cox-Lewis statistic. The power of such procedures is given. In addition, the power structure of the Cox-Lewis statistic is studied for hard-core regularity and Neyman-Scott regularity. However, these studies are restricted to Monte Carlo simulations. The conclusion is that the statistic suggested, based on Cox-Lewis statistic, is of great promise.
Mathematics Subject Classification ID: 68T10
Mathematics Subject Classification ID: 62H30
zbMATH DE Number: 3888937
zbMATH Keywords: multidimensional pattern and cluster analysis
zbMATH Keywords: Cox-Lewis statistic
zbMATH Keywords: randomness
zbMATH Keywords: spatial point process
describes a project that uses: spatial
MaRDI profile type: Publication
full work available at URL: 0031-3203(83)90066-3
OpenAlex ID: W2007764604
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description: scientific article; zbMATH DE number 3888937