FmultiInhom

0th

Percentile

Inhomogeneous Marked F-Function

For a marked point pattern, estimate the inhomogeneous version of the multitype $$F$$ function, effectively the cumulative distribution function of the distance from a fixed point to the nearest point in subset $$J$$, adjusted for spatially varying intensity.

Keywords
spatial, nonparametric
Usage
FmultiInhom(X, J,
lambda = NULL, lambdaJ = NULL, lambdamin = NULL,
…,
r = NULL)
Arguments
X

A spatial point pattern (object of class "ppp".

J

A subset index specifying the subset of points to which distances are measured. Any kind of subset index acceptable to [.ppp.

lambda

Intensity estimates for each point of X. A numeric vector of length equal to npoints(X). Incompatible with lambdaJ.

lambdaJ

Intensity estimates for each point of X[J]. A numeric vector of length equal to npoints(X[J]). Incompatible with lambda.

lambdamin

A lower bound for the intensity, or at least a lower bound for the values in lambdaJ or lambda[J].

Ignored.

r

Vector of distance values at which the inhomogeneous $$G$$ function should be estimated. There is a sensible default.

Details

See Cronie and Van Lieshout (2015).

Value

Object of class "fv" containing the estimate of the inhomogeneous multitype $$F$$ function.

References

Cronie, O. and Van Lieshout, M.N.M. (2015) Summary statistics for inhomogeneous marked point processes. Annals of the Institute of Statistical Mathematics DOI: 10.1007/s10463-015-0515-z

Finhom

• FmultiInhom
Examples
# NOT RUN {
X <- amacrine
J <- (marks(X) == "off")
mod <- ppm(X ~ marks * x)
lam <- fitted(mod, dataonly=TRUE)
lmin <- min(predict(mod)[["off"]]) * 0.9
plot(FmultiInhom(X, J, lambda=lam, lambdamin=lmin))
# }

Documentation reproduced from package spatstat, version 1.52-1, License: GPL (>= 2)

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