R: Inhomogeneous Marked F-Function

FmultiInhom {spatstat.core} | R Documentation

## 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

      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.

### Author(s)

Ottmar Cronie and Marie-Colette van Lieshout. Rewritten for spatstat by Adrian Baddeley Adrian.Baddeley@curtin.edu.au.

### 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")
      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))

[Package spatstat.core version 2.3-0 Index]