dvol.mse {pgs} | R Documentation |
Compute a MSE approximation for d-dimensional volume predictors. The structure of interest is an isotropic d-dimensional random compact set. The sampling device is a uniform random lattice of figures (point patterns, line segments...). The approximation depends only on sampling parameters and on the mean surface (to be provided) of the structure.
dvol.mse(x, S = 1, L = 3)
x |
a lattice of figures, object of class FigLat-class . |
S |
the mean surface. Default: 1. |
L |
an integer, the criterion for stopping summation of the
Epstein zeta function. Argument of the function Ezeta . Default: 3. |
The MSE approximation as a numeric.
# Area prediction. Sampling by a lattice of point patterns area.mse(FigLat(2,RectLat2(),PP2(5,0.1))) # Volume prediction. Sampling by a unit cubic point lattice vol.mse(FigLat(3,VecLat(diag(3)),PointPattern(rep(0,3))))