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