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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
474 Spatial Point Patterns: Methodology and Applications with R
For a log-Gaussian Cox process, we need to remember that
λ
(u) = EΛ(u) = E exp(G(u)) is equal
to e
µ
(u)+
σ
2
/2
, where
µ
(u) is n ow th e mean function of the Gaussian random field an d
σ
2
= C(0) is
its variance. Therefore th e mean function of the Gaussian random field is not log
λ
(u) but
µ
(u) =
σ
2
2
+ B(u) +
θ
Z(u). (12.16)
Notice the absence of log on the left side.
Note that inhomogeneous models of this kind are ‘correlation-stationary’ as defined in Sec-
tion 7.10.2. The f ormal test for correlation -stationarity describe d in Section 16.8.5 could be used to
decide whe ther such models are appropriate ...
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Publisher Resources

ISBN: 9781482210217