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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
464 Spatial Point Patterns: Methodology and Applications with R
Figure 12.15. Realisation of a Cauchy process with sca le
ω
= 0.1 (Left) and a variance- gamma
process with
ν
= 2 and scale
η
= 0.1 (Right) in the unit square. Open circles: offspring points.
Filled dots: parent points.
where
η
is the scale parameter and
ν
is an extra parameter controlling the ‘shape’ of the density,
which must satisfy
ν
> 1/2. Here Γ is the gamma function and K
ν
is the modified Bessel function
of the second kin d of order
ν
. The tails of the variance-gamma density are also heavy. A realisation
is shown in the right panel of Figure 12.15.
Comparison of cluster shapes
Figure 12.16 compar ...
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Publisher Resources

ISBN: 9781482210217