LinearJinhom: Inhomogeneous Linear J-function for Point Processes on Linear...

In Moradii/LinearJ: Higher-order summary statistics for point patterns on linear networks

Description

Inhomogeneous Linear J-function for point processes on linear networks.

Usage

LinearJinhom(X, lambda = NULL, densitymethod = c("kernel", "Voronoi"),
              r = NULL, rmax = NULL, f = 0.2, nrep = 200,
              distancetype = c("path", "euclidean"),
              bw = c("scott", "lppl"), ...)

Arguments

X	point pattern on a linear network.
lambda	the estimated intensity to be given when calculating the inhomogeneous Linear J-function. Input should be of class linim.
densitymethod	if no lambda is given, the intensity will be internally estimated based on either fast kernel intensity estimator by Rakshit et al. (2019) or resample-smoothed Voronoi intensity estimator by Moradi et al. (2019). If Voronoi is selected, then arguments f and nrep may be selected accordingly.
r	distance vector to estimate J-function based on.
rmax	max of r.
f	retention probability if densitymethod is Voronoi.
nrep	number of thinning if densitymethod is Voronoi.
distancetype	the type of distance to be given. Difault is the shortest-path distance.
bw	bandwidth selection method if densitymethod is kernel. Difault is bw.scott.iso.
...	argumets passed to density estimation.

Details

This function computes the geometrically corrected inhomogeneous Linear J-function for point processes on linear networks.

If no estimated intensity is given, this function internally estimates the intensity of the underlying point pattern based on either the function densityQuick.lpp (densitymethod = "kernel") or the function densityVoronoi.lpp (densitymethod = "Voronoi"). If densitymethod = "kernel" is selected, then bandwidth method can be either selected based on bw.scott.iso (bw=scott) or bw.lppl (bw=lppl).

Value

The estimated inhomogeneous linear J-function.

Note

The function is currently slow.

Author(s)

Mehdi Moradi [e-mail]

References

Cronie, O., Moradi, M., and Mateu, J (2020) Inhomogeneous higher-order summary statistics for point processes on linear networks. Statistics and Computing.

See Also

bw.scott.iso,bw.lppl, densityVoronoi.lpp, densityQuick.lpp

Moradii/LinearJ documentation built on Sept. 7, 2021, 11:36 p.m.