RandomFields (version 3.1.12)

RMS: Scaling operator

Description

RMS is an operator that modifies the variance and the coordinates or distances of a submodel $\phi$ by $$C(h)=v\ast \varphi (A\ast h/s).$$ Most users will never call RMS directly, see the details.

Usage

RMS(phi, var, scale, Aniso, proj, anisoT)

Arguments

phi

submodel

var

is the optional variance parameter $v$, It can be also an arbitrary non-negative function.

scale

scaling parameter $s$ which is positive

Aniso

matrix or RMmodel. The optional anisotropy matrix $A$, multiplied from the right by a distance vector $x$, i.e. $Ax$

proj

is the optional projection vector which defines a diagonal matrix of zeros and ones and proj gives the positions of the ones (integer values between 1 and teh dimension of $x$).

anisoT

the transpose of the anisotropy matrix $B$, multiplied from the left by a distance vector $x$, i.e. $x^\top B$.

Value

• RMS returns an object of class RMmodel.

Details

The call in the usage section is equivalent to phi(..., var, scale, anisoT, Aniso, proj), where phi has to be replaced by a valid RMmodel

Most users will never call RMS directly.

See Also

RMmodel,

RMprod for an alternative way to define an arbitrary, location dependent variance. There the standard deviation is given so that RMprod might be used even in the multivariate case.

Examples

RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set
##                   RFoptions(seed=NA) to make them all random again
StartExample()
model1 <- RMS(RMexp(), scale=2)
model2 <- RMexp(scale=2)
x <- seq(0, 10, 0.02)
print(all(RFcov(model1, x) == RFcov(model2, x))) # TRUE
FinalizeExample()