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Spatial Point Patterns
book

Spatial Point Patterns

by Adrian Baddeley, Ege Rubak, Rolf Turner
November 2015
Intermediate to advanced content levelIntermediate to advanced
828 pages
33h 11m
English
Chapman and Hall/CRC
Content preview from Spatial Point Patterns
Correlation 249
7.12 Third- and higher-order summary statisti cs
We saw on page 211 that two different point processes can have identical first-order (intensity) and
second-order (correlatio n) properties. In order to distinguish between such processes we need an-
other ap proach. One possible strategy is to estimate the third-order moments, which would involve
counting triples rath e r than pairs of data poin ts.
For a stationary point process X with intensity
λ
, the triangle -counting f unction T (r) is define d
as the n ormalised expected number of triangles formed by points of X, with all side len gths less
than or equal to r, with one corner at
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Publisher Resources

ISBN: 9781482210217