SpatioTemporal (version 1.1.7)

namesCovFuns: Available covariance functions

Description

Returns a list of possible covariance function names

Usage

namesCovFuns()

Value

Character vector with valid covariance function names.

Details

Available covariance functions (d is the distance between points):

exp,exponential

Exponential covariance: $$\sigma^2 \exp(-d/\rho)$$

exp2,exponential2,gaussian

Gaussian/double exponential covariance: $$\sigma^2 \exp(-(d/\rho)^2)$$

cubic

Cubic covariance: $$\sigma^2 (1 - 7 (d/\rho)^2 + 8.75 (d/\rho)^3 - 3.5 (d/\rho)^5 + 0.75 (d/\rho)^7)$$ if \(d<\rho\).

spherical

Spherical covariance: $$\sigma ^2(1 - 1.5(d/\rho) + 0.5 (d/\rho)^3)$$ if \(d<\rho\).

matern

Matern covariance: $$\frac{\sigma^2}{\Gamma(\nu) 2^{\nu-1}} \left(\frac{d\sqrt{8\nu}}{\rho}\right)^\nu K_\nu\left(\frac{d\sqrt{8\nu}}{\rho}\right)$$

cauchy

Cauchy covariance: $$ \frac{\sigma^2}{(1 + (d/\rho)^2)^{\nu}}$$

iid

IID covariance, i.e. zero matrix since nugget is added afterwards. $$0$$

See Also

Other covariance functions: crossDist, evalCovFuns, makeSigmaB, makeSigmaNu, parsCovFuns, updateCovf

Examples

# NOT RUN {
namesCovFuns()
# }