mygest(InhomCluster)R Documentation

Estimation of g function

Description

Kernel estimation of g function for data on a rectangular observation window

Usage

mygest=function(data,lambda,maxt,bw,adaptive=T,kerneltype=1)

Arguments

data a spatstat ppp point pattern object
lambda vector containing intensity for each point in data
maxt maximal distance t for which g(t) is estimated
bw band width for kernel estimation
adaptive if true, Snethlage (2001)'s adaptive estimate is used
kerneltype if 1, the uniform kernel is used, if 2, the Epanecnikov kernel is used

Details

This function computes a kernel estimate of the g-function using the translation invariant edge correction (Ohser, 1983). The procedure only works for point patterns observed within a rectangular observation window.

Value

A list with two components t and g where t is the distances for which the g-function is estimated and g is the estimate.

Author(s)

Rasmus Waagepetersen rw@math.aau.dk http://www.math.aau.dk/~rw

References

Snethlage, M. (2001) Ueber die statistische Analyse von Clusterpunktprozessen durch die Paarkorrelationsfunktion, Ph.D.-thesis, Technische Universitaet Freiberg.

Ohser, J. (1983) On estimators for the reduced second moment measure of point processes. _Mathematische Operationsforschung und Statistik, series Statistics_, *14*, 63 - 71.

See Also

myKest.cross, myKest,


[Package InhomCluster version 1.0 Index]