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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
Point Process Methods 147
have n((X + v) B) = n(X (B v)) so that n(X (B v )) has the same distribution as n(X B),
implying that En(X B v) = En(X B). It ca n be shown that this implies En(X B) =
λ
|B| for
some constant
λ
, so the point process has homogeneous intensity.
The assumption of stationarity is crucial for many of the classical tools of sp a tial statistics, such
as Ripley’s K-function (Chapter 7). If the point process is not stationary, the K-function is n ot even
a well-defined concept.
A point process is called stationary and isotropic if its statistical properties are unaffected by
shifting or rotating the point process. If we view such a process through a windowW, the observable
statistical properties do not depend on the location ...
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Publisher Resources

ISBN: 9781482210217