RFlinearpart {RandomFields}R Documentation

Linear part of RMmodel

Description

RFlinearpart returns the linear part of a model

Usage

RFlinearpart(model, x, y = NULL, z = NULL, T = NULL, grid,
                data, distances, dim, set=0, ...)

Arguments

model

object of class RMmodel; the covariance or variogram model, which is to be evaluated

x

vector or (n x \code{dim})-matrix, where n is the number of points at which the covariance function is to be evaluated; in particular, if the model is isotropic or dim=1 then x is a vector. x

y

second vector or matrix for non-stationary covariance functions

z

z-component of point if xyzT-specification of points is used

T

T-component of point if xyzT-specification of points is used

grid

boolean; whether xyzT specify a grid

data

vector or matrix of values measured at coord; If a matrix is given then the columns are interpreted as independent realisations.
If also a time component is given, then in the data the indices for the spatial components run the fastest.

If an m-variate model is used, then each realisation is given as m consecutive columns of data.

distances

vector; the lower triangular part of the distance matrix column-wise; equivalently the upper triangular part of the distance matrix row-wise; either x or distances must be missing

dim

dimension of the coordinate space in which the model is applied; only necesary for given distances

set

integer. See section Value for details.

...

for advanced further options and control arguments for the simulation that are passed to and processed by RFoptions

Value

RFlinearpart returns a list of three components, Y, X, vdim returning the deterministic trend, the design matrix, and the multivariability, respectively. If set is positive, Y and X contain the values for the set-th set of coordinates. Else, Y and X are both lists containing the values for all the sets.

Note

In the linear part of the model specification the parameters that are NA must be the first model part. I.e. NA * sin(R.p(new="isotropic")) + NA + R.p(new="isotropic") is OK, but not sin(R.p(new="isotropic")) * NA + NA + R.p(new="isotropic")

Author(s)

Martin Schlather, schlather@math.uni-mannheim.de http://ms.math.uni-mannheim.de/de/publications/software

See Also

Bayesian, RMmodel, RFsimulate, RFlikelihood.

Examples

RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set
##                   RFoptions(seed=NA) to make them all random again


x <- seq(0, pi, len=10)
trend <- 2 * sin(R.p(new="isotropic")) + 3
model <- RMexp(var=2, scale=1) + trend
print(RFlinearpart(model, x=x))  ## only a deterministic part

trend <- NA * sin(R.p(new="isotropic")) + NA + R.p(new="isotropic") / pi
model <- RMexp(var=NA, scale=NA) + trend
print(RFlinearpart(model, x=x))
[Package RandomFields version 3.1.50 Index]