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Distance Distributions and Trip Behavior in Defined Regions
Author(s) -
Smith M. J.
Publication year - 1977
Publication title -
geographical analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.773
H-Index - 65
eISSN - 1538-4632
pISSN - 0016-7363
DOI - 10.1111/j.1538-4632.1977.tb00587.x
Subject(s) - point (geometry) , computer science , bounded function , regular polygon , distribution (mathematics) , sampling distribution , sampling (signal processing) , mathematics , statistics , statistical physics , algorithm , geometry , mathematical analysis , physics , filter (signal processing) , computer vision
This paper discusses applications of the statistical distribution of distances between random pairs of points in bounded regions. The existing literature on convex figures is first described, and applications of the analytically tractable distributions to point pattern analysis are given. New statistics are then introduced with applications in shape analysis and trip distribution studies. Finally a brief discussion is made of directional bias, and of alternative sampling rules and distance metrics.