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Evaluation of the Poisson Approximation To Measures of the Random Pattern in the Square
Author(s) -
Dacey Michael F.
Publication year - 1975
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.1538-4632.1975.tb01050.x
Subject(s) - poisson distribution , square (algebra) , poisson process , point process , mathematics , poisson point process , statistical physics , mathematical analysis , statistics , physics , geometry
Theoretical values for spacing between points of the Poisson process are frequently used to evaluate the hypothesis that the locations within a region of pointlike objects have a random pattern. These theoretical spacing values are an approximation to spacing values for a uniform process in which the objects are uniformly and independently located in the region. The adequacy of the Poisson approximation to this uniform process for a square region is evaluated by analytic and numeric methods. The approximation is close for a small number of points when spacing between objects is measured by toroidal distance.