spatstat.explore (version 3.5-3)

FmultiInhom: Inhomogeneous Marked F-Function

Description

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.

Usage

Fmulti.inhom(X, J,
              lambda = NULL, lambdaJ = NULL, lambdamin = NULL,
              ...,
              r = NULL)
  FmultiInhom(X, J,
              lambda = NULL, lambdaJ = NULL, lambdamin = NULL,
              ...,
              r = NULL)

Value

Object of class "fv" containing the estimate of the inhomogeneous multitype \(F\) function.

Details

See Cronie and Van Lieshout (2015).

The functions FmultiInhom and Fmulti.inhom are identical.

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

See Also

Finhom

Examples

  X <- amacrine
  J <- (marks(X) == "off")
  online <- interactive()
  eps <- if(online) NULL else 0.025
  if(online && require(spatstat.model)) {
    mod <- ppm(X ~ marks * x, eps=eps)
    lambdaX <- fitted(mod, dataonly=TRUE)
    lambdaOff <- predict(mod, eps=eps)[["off"]]
    lmin <- min(lambdaOff) * 0.9
  } else {
    ## faster computation for package checker only
    lambdaX <- intensity(X)[as.integer(marks(X))]
    lmin <- intensity(X)[2] * 0.9
  }

  plot(FmultiInhom(X, J, lambda=lambdaX, lambdamin=lmin, eps=eps))