dae (version 3.2.30)

mat.sar: Forms an sar correlation matrix

Description

Form the correlation matrix of order order whose correlations follow the sar pattern. The resulting matrix is banded.

Usage

mat.sar(SARparameter, order)

Value

A banded correlation matrix whose elements follow an sar pattern.

Arguments

SARparameter

A numeric containing the single value of the parameter from which the correlations are calculated.

order

The order of the matrix to be formed.

Author

Chris Brien

Details

The values of the correlations in the correlation matrix, corr say, are calculated from the SARparameter, gamma as follows. The values in

• the diagonal of corr (k = 1) are one;

• the first subdiagonal band (k = 2) of corr are equal to gamma/(1 + (gamma * gamma / 4));

• the subsequent subdiagonal bands, (k = 3:order), of corr are equal to
  gamma * corr[k-1] - (gamma * gamma/4) * corr[k-2].

See Also

mat.I, mat.J, mat.cor, mat.corg, mat.banded, mat.exp, mat.gau, mat.ar1, mat.ar2, mat.ar3, mat.sar2, mat.ma1, mat.ma2, mat.arma

Examples

    corr <- mat.sar(SARparameter = -0.4, order = 4)