Kmodel.kppm
K Function or Pair Correlation Function of Cluster Model or Cox model
Returns the theoretical \(K\) function or the pair correlation function of a cluster point process model or Cox point process model.
Usage
# S3 method for kppm
Kmodel(model, …) # S3 method for kppm
pcfmodel(model, …)
Arguments
- model
A fitted cluster point process model (object of class
"kppm"
) typically obtained from the model-fitting algorithmkppm
.- …
Ignored.
Details
For certain types of point process models, it is possible to
write down a mathematical expression for the \(K\) function
or the pair correlation function of the model. In particular this
is possible for a fitted cluster point process model
(object of class "kppm"
obtained from kppm
).
The functions Kmodel
and pcfmodel
are generic.
The functions documented here are the methods for the class "kppm"
.
The return value is a function
in the R language,
which takes one argument r
.
Evaluation of this function, on a numeric vector r
,
yields values of the desired \(K\) function or pair correlation
function at these distance values.
Value
A function
in the R language,
which takes one argument r
.
See Also
Kest
or pcf
to estimate the \(K\) function or pair correlation function
nonparametrically from data.
kppm
to fit cluster models.
Kmodel
for the generic functions.
Kmodel.ppm
for the method for Gibbs processes.
Examples
# NOT RUN {
data(redwood)
fit <- kppm(redwood, ~x, "MatClust")
K <- Kmodel(fit)
K(c(0.1, 0.2))
curve(K(x), from=0, to=0.25)
# }