# linearmarkequal

##### 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.

##### See Also

##### 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)*