vol.mse.est: MSE estimation for 3D-volume predictors
In pgs: Precision of Geometric Sampling

Description Usage Arguments Details Value

Compute a MSE estimate for 3D-volume predictors. The structure of interest is a random compact set. The sampling device is a uniform random lattice of figures.

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

`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. Optional: a default value is computed. If isotropy is assumed, the lattice generating matrix (3 main basis vectors). Otherwise, 3 face diagonal lattice vectors are added to the 3 main basis vectors.

vol.mse.est invokes the function vol.mse.

If mse.only is TRUE, the MSE estimate as a scalar. Otherwise a list with components:

`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.