# linearmarkequal

From spatstat v1.41-1
by Adrian Baddeley

##### 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 - 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 o
- ...
- 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

```
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 1.41-1, License: GPL (>= 2)*

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