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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
502 Spatial Point Patterns: Methodology and Applications with R
For a finite Gibbs process X with probability density f(x), if we condition on the presence
of a point at lo cation u, then X is no longer a Gibbs process, because it contains a fixed point.
However, the rest of the process, say Y = X \u, is a finite Gibbs pr ocess with probability density
h(y) = c f (y ∪{u}) = c f (y)
λ
(u | y) wher e c is a normalising constant. In technical terms, the
reduced Palm distribution of a Gibbs model is a Gibbs model.
For example, in the Gibbs hard core process with parameters
β
and h in a window W , if we
condition on the pr esence of a point at location u , then ...
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Publisher Resources

ISBN: 9781482210217