# linearmarkconnect

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
linearmarkconnect(X, i, j, 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
i
Number or character string identifying the type (mark value) of the points in X from which distances are measured. Defaults to the first level of marks(X).
j
Number or character string identifying the type (mark value) of the points in X to which distances are measured. Defaults to the second level of marks(X).
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 a counterpart of the function markconnect for a point pattern on a linear network (object of class "lpp").

The argument i will be interpreted as levels of the factor marks(X). If i is missing, it defaults to the first level of the marks factor.

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).

##### Warnings

The argument i is interpreted as a level of the factor marks(X). Beware of the usual trap with factors: numerical values are not interpreted in the same way as character values.

##### 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, linearmarkequal, markconnect.
pab <- linearmarkconnect(chicago, "assault", "burglary")
plot(alltypes(chicago, linearmarkconnect))