envelope.lpp.J: Simulation Envelopes of the Inhomogeneous Linear J-function...

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

Description

Simulation Envelopes of the Inhomogeneous Linear J-function for Point Processes on Linear Networks

Usage

J.envelope.lpp(X, Y, lambda = NULL, fun = LinearJinhom,
                nsim = 19, nrank = 1, Interval = TRUE,
                prob = 0.025, seed = 1234, verbose = TRUE,
                ...)

Arguments

X	a point pattern on a linear network.
Y	a list of point pattern (optional).
lambda	intensity function.
fun	function to build the envelope for.
nsim	number of simulation.
nrank	rank.
Interval	if TRUE, envelopes will be obtained based on quantile.
prob	probability to create envelope based on quantiles.
seed	seed.
verbose	if TRUE, it shows the progress.
...	arguments passed to LinearJinhom.

Details

For a given point pattern X, this function calculates an envelope based on nsim point patterns from a Poisson model. nsim realisations can be either given by user through argument Y, or be simulated based on a given intensity function lambda. The linear J-function will be estimated for all nsim realisations, and then based on all estimated J-functions, lower and upper bound of the envelope will be obtained. Envelope can be obtained using nrank in which nrank=1 means using min and max. However, envelope can be also obtained based on quantile when Interval=TRUE.

Value

The estimated envelope for the 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

LinearJinhom, envelope.lpp

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