pgs (version 0.4-0)

dvol.mse.est: MSE estimation for volume predictors

Description

Compute a MSE estimate for volume predictors in a space with arbitrary dimension. The structure of interest is an random compact set. The sampling device is a uniform random lattice of figures.

Usage

dvol.mse.est(fldata,mse.only=TRUE,iso=FALSE,diff2use)

Arguments

fldata

data collected for volume prediction, object of class FigLatData-class.

mse.only

TRUE (default) if only the MSE estimate must be returned.

iso

FALSE (default) if the boundary is not assumed to be isotropic.

diff2use

a family of lattice vectors defining the data covariations to be used for the MSE estimation. A matrix with as many columns as lattice vectors. Each column contains the vector coordinates in the basis defined by the lattice generating matrix.

Value

S.est

estimate of the boundary surface area.

deformation

used when the boundary is not assumed to be isotropic. It is assumed that there exists a volume preserving linear transformation which makes the boundary isotropic. This list component contains the estimated transformation matrix.

mse.est

MSE estimate.

See Also

vol.mse.est, area.mse.est.