<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "A Nonparametric Index for Determining the Numbers of Events in Clusters"^^ . "The task of discriminating between heterogeneity and complete spatial\nrandomness (CSR) for a given point process can be divided into three subtasks: the\nidentification of the point pattern; the determination of the sizes of clusters; and the\nestimation of the numbers of events in dominant clusters. Many studies have been\nperformed regarding the first and second subtasks. However, limited work has been\ndone on the third aspect; hence, the determination of the number of events in each\ndominant cluster is still an unsolved problem. In this paper, we provide a solution\nby constructing a new index which is defined as the ratio between the variance of\nthe (k + 1)th nearest distance and that of the kth nearest distance. Our method can\nbe divided into two phases: the detection of point pattern and the estimation of the\nnumbers of events in dominant clusters. These phases can be estimated by the val-\nues at which the index abruptly decreases to be less than 1. A comparative study\nbetween the existing indices and our index shows the following: (i) our index can in-\ndicate the numbers of events in dominant clusters in a relatively objective way, which\nis different from the K-function revealing the sizes of clustered patterns; (ii) it is a\nnonparametric index and is easy to implement; and (iii) it demonstrates the highest\ndetection power for differentiating between heterogeneity and CSR. The simulations\nand two seismic case studies also confirmed the correctness of our method."^^ . "2011-04" . . "43" . "3" . . "Springer Verlag"^^ . . . "Mathematical Geosciences"^^ . . . "18748961" . . . . . . . "Tao"^^ . "Pei"^^ . "Tao Pei"^^ . . "State Key Laboratory of Resources and Environmental Information System, Institute of Geographical Sciences and Natural Resources Research, Chinese Academy of Sciences, 11A, Datun Road Anwai, Beijing 100101, China"^^ . . . . . . "HTML Summary of #1283 \n\nA Nonparametric Index for Determining the Numbers of Events in Clusters\n\n" . "text/html" . . . "Clustering and migration" . .