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Abstract Details

Activity Number: 21
Type: Topic Contributed
Date/Time: Sunday, July 29, 2012 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics and the Environment
Abstract - #305768
Title: On Inference for the K-Function for Spatial Point Patterns
Author(s): Michael Hyman*+
Address: 889 NW 21st Ave, Gainesville, FL, 32609, United States
Keywords: Point processes ; K-function

Spatial point processes are statistical processes that are applied to studies across a variety of disciplines. A point pattern is an observed realization of a spatial point process. The extent of spatial dependence of points in a pattern or the comparison of multiple point patterns recorded at different locations is often of interest. The K-function is generally used to assess the spatial dependence of a point pattern; however, little is known about the statistical properties of this function, making inference difficult. Currently, a simulation envelope for the K-function from a hypothesized spatial point process is obtained, and the empirical K-function from the observed process compared to the simulation envelope. In this work, statistical properties of empirical K-functions are used to assess whether two or more patterns are realizations of the same process.

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