pgs (version 0.4-0)

area.mse.est: MSE estimation for planar area predictors

Description

Compute a MSE estimate for planar area predictors. The structure of interest is a random compact set. The sampling device is a uniform random lattice of figures.

Usage

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

Arguments

fldata

data collected for planar area 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. Optional: a default value is computed. If isotropy is assumed, the lattice generating matrix (2 main basis vectors). Otherwise, 2 diagonal lattice vectors are added to the 2 main basis vectors.

Value

B.est

estimate of the boundary length.

deformation

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

mse.est

MSE estimate.

Details

area.mse.est invokes function area.mse.

See Also

vol.mse.est, dvol.mse.est.