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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
Gibbs Mo dels 527
where
β
1
and
β
2
are non-negative constants.
The problem here is that the conditional intensity cannot be chosen at will; the values
λ
(u | x)
for different lo cations u and different patterns x must be logically consistent.
The con ditional intensity
λ
(u | x) of a point pr ocess is related to its probability density f (x )
through equ a tion (13.4). Rearranging this equation gives f (x ∪{u}) = f(x)
λ
(u | x). If we know
the probability density for x and the conditional intensity at a new point u given x, we can calculate
the probability density for the augmented pattern x ∪{u}. Applying this idea repeatedly, we can
determine the p robability ...
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Publisher Resources

ISBN: 9781482210217