spatstat.explore (version 3.4-2)

ISE.envelope: Integrated Squared Error on an Envelope Object

Description

Compute integrated squared error of each of the simulated function estimates in an envelope object.

Usage

ISE.envelope(object, theo, domain, dimension=2)

Value

A numeric vector of length equal to the number of simulated functions.

Arguments

object

Object of class "envelope" generated by the function envelope

theo

Function in the R language that evaluates the true (theoretically expected) value of the spatial summary function.

domain

Numeric vector of length 2 specifying the limits of the domain of integration for the integrated squared error.

dimension

Integer (either 1 or 2) specifying whether to calculate the one-dimensional or two-dimensional integral of squared error.

Author

Adrian Baddeley , Martin Hazelton and Tilman Davies .

Details

The first argument should be an object of class "envelope" and should contain the simulated function estimates (i.e. it should have been computed using envelope with savefuns=TRUE).

The simulated function estimates are extracted from object, and their squared error from the true value theo is computed pointwise. The squared errors are integrated over the interval specified by domain, giving one value of integrated squared error for each simulated function estimate. These values are returned as a numerical vector.

See Also

bias.envelope, MISE.envelope.

Examples

  E <- envelope(cells, Kest, correction="translate", nsim=20, savefuns=TRUE)
  theoK <- function(r) { pi * r^2 }
  dom <- c(0, 0.1)
  ISE.envelope(E, theoK, dom)