
522 Spatial Point Patterns: Methodology and Applications with R
b
F(r) as explained in [70]. The theoretically optimal (Neyman-Pearson) test of CSR against an
area-interaction model with known r is based on n(x) and
b
F(r).
13.7.2 Geyer saturation model
In Section 13.3.7 it was explained that a Strauss process with
γ
> 1 does not exist, because the
probability density is not integrable. In terms of the conditional intensity,
λ
(u | x) =
β γ
t(u,r,x)
where t(u , r, x) is the numb e r of points in the configuration x which lie w ithin a distance r of the
location u. If we were to take
γ
greater than 1, then this conditional intensity co uld take a rbitrarily
large ...