repul.dppm
Repulsiveness Index of a Determinantal Point Process Model
Computes a measure of the degree of repulsion between points in a determinantal point process model.
Usage
repul(model, …)# S3 method for dppm
repul(model, …)
Arguments
- model
A fitted point process model of determinantal type (object of class
"dppm").- …
Ignored.
Details
The repulsiveness index \(\mu\) of a determinantal point process model was defined by Lavancier, Moller and Rubak (2015) as $$ \mu = \lambda \int (1- g(x)) \, dx $$ where \(\lambda\) is the intensity of the model and \(g(x)\) is the pair correlation function, and the integral is taken over all two-dimensional vectors \(x\).
Values of \(\mu\) are dimensionless. Larger values of \(\mu\) indicate stronger repulsion between points.
If the model is stationary, the result is a single number.
If the model is not stationary, the result is a pixel image (obtained by multiplying the spatially-varying intensity by the integral defined above).
Value
A numeric value or a pixel image.
References
Lavancier, F., Moller, J. and Rubak, E. (2015), Determinantal point process models and statistical inference. Journal of Royal Statistical Society: Series B (Statistical Methodology), 77, 853--877.
See Also
Examples
# NOT RUN {
jpines <- residualspaper$Fig1
# }
# NOT RUN {
fit <- dppm(jpines ~ 1, dppGauss)
repul(fit)
# }