Journal of Applied Probability · 1978 · 115 citations · 6 references
Natural SciencesMathematicsProbability TheorySpatial StatisticsStatisticsLimit TheoremsSpatial Cluster AnalysisSpatial ClusteringSpatial DependenceSpatial Statistical ModelingHoeffding's InequalityPoisson Limit TheoremsPoisson Point ProcessesSpatial Poisson Processes
Motivated by problems in the analysis of spatial data, we prove some general Poisson limit theorems for the U -statistics of Hoeffding (1948). The theorems are applied to tests of clustering or collinearities in plane data; nearest neighbour distances are also considered.
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