A Class of Local and Global K Functions and Their Exact Statistical Methods

Atsu Okabe, Barry Boots and Toshiaki Satoh
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Atsu Okabe: University of Tokyo
Barry Boots: Wilfrid Laurier
Toshiaki Satoh: University of Tokyo

Chapter Chapter 8 in Perspectives on Spatial Data Analysis, 2010, pp 101-112 from Springer

Abstract: Abstract In 1987 Getis and Franklin introduced a technique, based on second-order methods, for quantifying clustering at various scales in mapped point patterns. Subsequently, this technique has become known as local K function analysis. In this paper we develop the local and global forms of a class of K functions and cross K functions formulated on a bounded plane that includes the technique of Getis and Franklin. Exact statistical methods are formulated or discussed and computational methods are shown for the functions.

Keywords: Binomial Distribution; Voronoi Diagram; Algebraic Function; Railway Station; Local Space (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:adspcp:978-3-642-01976-0_8

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DOI: 10.1007/978-3-642-01976-0_8

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