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On the Estimation of the Nearest Neighbour Distribution, G(t), for Point Processes
Author(s) -
Doguwa S. I.,
Upton G. J. G.
Publication year - 1990
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710320715
Subject(s) - point process , mathematics , nearest neighbour , statistics , point (geometry) , distribution (mathematics) , object (grammar) , point pattern analysis , estimation , pattern recognition (psychology) , algorithm , computer science , artificial intelligence , common spatial pattern , mathematical analysis , geometry , management , economics
A new method is proposed for estimating G ( t ), the distribution function of the distance from an object to its nearest neighbour in a spatial point process. The new method makes more complete use of the information available and has a smaller mean squared error than that of the existing alternatives. The method appears equally effective with random, clustered and regular patterns.