# linearmarkequal

0th

Percentile

##### Mark Connection Function for Multitype Point Pattern on Linear Network

For a multitype point pattern on a linear network, estimate the mark connection function from points of type $i$ to points of type $j$.

Keywords
spatial, nonparametric
##### Usage
linearmarkequal(X, r=NULL, …)
##### 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 $r$.

Arguments passed to linearpcfcross and linearpcf.

##### Details

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.

##### Value

An object of class "fv" (see fv.object).

##### References

Baddeley, A, Jammalamadaka, A. and Nair, G. (to appear) Multitype point process analysis of spines on the dendrite network of a neuron. Applied Statistics (Journal of the Royal Statistical Society, Series C), In press.

linearpcfcross, linearpcf, linearmarkconnect, markconnect.

##### Aliases
• linearmarkequal
##### Examples
# NOT RUN {

if(interactive()) {
X <- chicago
} else {
X <- runiflpp(20, simplenet) %mark% sample(c("A","B"), 20,
replace=TRUE)
}
p <- linearmarkequal(X)
# }

Documentation reproduced from package spatstat, version 1.57-1, License: GPL (>= 2)

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