# Kmodel

##### K Function or Pair Correlation Function of a Point Process Model

Returns the theoretical \(K\) function or the pair correlation function of a point process model.

##### Usage

`Kmodel(model, …)` pcfmodel(model, …)

##### Arguments

- model
A fitted point process model of some kind.

- …
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.

The functions `Kmodel`

and `pcfmodel`

give the
theoretical \(K\)-function and the theoretical pair correlation
function for a point process model that has been fitted to data.

The functions `Kmodel`

and `pcfmodel`

are generic,
with methods for the classes `"kppm"`

(cluster processes
and Cox processes) and `"ppm"`

(Gibbs processes).

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.

`Kmodel.kppm`

for the method for cluster processes
and Cox processes.

`Kmodel.ppm`

for the method for Gibbs processes.

*Documentation reproduced from package spatstat, version 1.61-0, License: GPL (>= 2)*