matern_vs {asreml}R Documentation

Matern variance structure

Description

Model function for an extended Matern class The mtrn special function implements an extended Matern class (structure) which accommodates geometric anisotropy and a choice of metrics for random fields observed in two dimensions (Haskard et al., 2007). See the reference manual for further details.

Usage

mtrn(x, y, phi = NA, nu = 0.5, delta = 1.0, alpha = 0.0, lambda = 2)

mtrnv(x, y, phi = NA, nu = 0.5, delta = 1.0, alpha = 0.0, lambda = 2, init = 0.1)

mtrnh(x, y, phi = NA, nu = 0.5, delta = 1.0, alpha = 0.0, lambda = 2, init = 0.1)

Arguments

x

An object in data containing the x coordinates.

y

An object in data containing the y coordinates.

phi

The range parameter (default = NA).

nu

The smoothness parameter (default = 0.5).

delta

Governs geometric anisotropy (default = 1.0).

alpha

Governs geometric anisotropy (default = 0.0).

lambda

Specifies the choice of metric. Options are 1 for city block, and 2 for Euclidean distance (default = 2).

init

An optional vector of initial values for any variance parameters, with an optional names attribute from the set {P, U, F} specifying the boundary constraint as positive, unconstrained or fixed, respectively.

Details

If an argument to mtrn is numeric, it is treated as a starting value for estimation and given the constraint code P (positive). This behaviour can be altered by concatenating the numeric value followed by the constraint code (“P”, “U” or “F”) into a character string. If an argument is absent from the call, the corresponding parameter is held fixed at its default value.

Functions


[Package asreml version 4.2.0.480 Index]