gauss.variog: Internal function used to estimate the nugget effect, variance, and range parameters in the gaussian variogram. This function is called by the Variog.fit and ProbForecastGOP functions
when fitting a parametric gaussian variogram to an empirical variogram via the method of Weighted Least Squares.
Description
Internal function called by the Variog.fit and ProbForecastGOP functions when fitting a gaussian theoretical variogram to an empirical variogram via the method of Weighted Least
Squares.
Usage
gauss.variog(v,variog,d,w)
Arguments
v
numeric vector with the nugget effect, variance, and range parameters of the gaussian variogram.
variog
numeric vector giving the values of the empirical variogram at distances given by the numeric vector d.
d
numeric vector giving the distances (or the bin midpoints) at which the empirical variogram has been computed.
w
numeric vector giving the weights to be used in the Weighted Least Squares, that is, the number of pairs of meteorological stations with distance falling in any given bin.
Value
The function returns the weighted least-square loss function relative to the empirical variogram and the theoretical gaussian variogram evaluated for a given set v of nugget effect, variance,
and range parameters. This is the function that is minimized to obtain estimates of the nugget effect, variance, and range parameters of the
gaussian variogram.
Details
This function is an internal function that is used and called by the Variog.fit and ProbForecastGOP functions to estimate the parameters of a gaussian variogram when fitting to an
empirical variogram via Weighted Least Squares.
- Defaults -
None.