Kmodel: K Function or Pair Correlation Function of a Point Process...

In spatstat.model: Parametric Statistical Modelling and Inference for the 'spatstat' Family

K Function or Pair Correlation Function of a Point Process Model

Description

Returns the theoretical K function, L function or pair correlation function of a point process model.

Usage

   Kmodel(model, ...)

   pcfmodel(model, ...)

   Lmodel(model, ...)

Arguments

model	A 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, Lmodel and pcfmodel give the theoretical K-function, L-function and pair correlation function for a point process model.

The functions Kmodel, Lmodel and pcfmodel are generic, with methods for the classes "kppm" (fitted cluster processes and Cox processes), "ppm" (fitted Gibbs processes) and "clusterprocess" (cluster process models with specified values of the parameters).

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.

Author(s)

\spatstatAuthors

.

See Also

Kest or pcf to estimate the K function or pair correlation function nonparametrically from data.

Kmodel.kppm for the method for fitted cluster processes and Cox processes.

Kmodel.clusterprocess for the method for cluster process models with specified parameter values.

Kmodel.ppm for the method for fitted Gibbs processes.

spatstat.model documentation built on March 29, 2026, 9:07 a.m.