dbmss (version 2.3-0)

Kmmhat: Estimation of the Kmm function

Description

Estimates of the Kmm function

Usage

Kmmhat(X, r = NULL, ReferenceType = "", CheckArguments = TRUE)

Arguments

X

A weighted, marked, planar point pattern (wmppp.object).

r

A vector of distances. If NULL, a sensible default value is chosen (512 intervals, from 0 to half the diameter of the window) following spatstat.

ReferenceType

One of the point types. Others are ignored. Default is all point types.

CheckArguments

Logical; if TRUE, the function arguments are verified. Should be set to FALSE to save time in simulations for example, when the arguments have been checked elsewhere.

Value

An object of class fv, see fv.object, which can be plotted directly using plot.fv.

Details

The Kmm function is used to test the independence of marks.

References

Penttinen, A., Stoyan, D. and Henttonen, H. M. (1992). Marked Point Processes in Forest Statistics. Forest Science 38(4): 806-824. Penttinen, A. (2006). Statistics for Marked Point Patterns. in The Yearbook of the Finnish Statistical Society. The Finnish Statistical Society, Helsinki: 70-91.

See Also

Lmmhat, LmmEnvelope, markcorrint

Examples

data(paracou16)
# Keep only 50% of points to run this example
X <- as.wmppp(rthin(paracou16, 0.5))
plot(X)

# Calculate Kmm
r <- seq(0, 30, 2)
(Paracou <- Kmmhat(X, r))

# Plot
plot(Paracou, ./(pi*r^2) ~ r)