linearmarkequal: Mark Connection Function for Multitype Point Pattern on Linear Network
Description
For a multitype point pattern on a linear network,
estimate the mark connection function
from points of type \(i\) to points of type \(j\).
Usage
linearmarkequal(X, r=NULL, ...)
Value
An object of class "fv" (see fv.object).
Arguments
X
The observed point pattern,
from which an estimate of the mark connection function
\(p_{ij}(r)\) will be computed.
An object of class "lpp" which
must be a multitype point pattern (a marked point pattern
whose marks are a factor).
r
numeric vector. The values of the argument \(r\)
at which the function
\(p_{ij}(r)\) should be evaluated.
There is a sensible default.
First-time users are strongly advised not to specify this argument.
See below for important conditions on \(r\).
This is the mark equality function
for a point pattern on a linear network (object of class "lpp").
The argument r is the vector of values for the
distance \(r\) at which \(p_{ij}(r)\)
should be evaluated.
The values of \(r\) must be increasing nonnegative numbers
and the maximum \(r\) value must not exceed the radius of the
largest disc contained in the window.
References
Baddeley, A, Jammalamadaka, A. and Nair, G. (2014)
Multitype point process analysis of spines on the
dendrite network of a neuron.
Applied Statistics (Journal of the Royal Statistical
Society, Series C), 63, 673--694.
if(interactive()) {
X <- chicago
} else {
m <- sample(factor(c("A","B")), 20, replace=TRUE)
X <- runiflpp(20, simplenet) %mark% m
}
p <- linearmarkequal(X)