
454 Spatial Point Patterns: Methodology and Applications with R
Figure 12.5. Cox process generated by a mosaic random field. Left: random tessellation. Middle:
each tile of the tessellation is assigned a different random value, giving the mosaic random field.
Right: Poisson process with intensity equal to the mosaic random field.
In many applications it makes sen se to assume that G(u) has a normal (Gaussian) distribution
for each location u. Additionally for each pair of locations u,v the p a ir of values (G(u),G(v))
should have a bivariate Gaussian distribution. In gen e ral, fo r any c hosen set of locations u
1
,... ,u
n
the corresponding values ...