RandomFieldsUtils (version 1.2.5)

gauss: Gaussian Covariance Model

Description

gauss is a stationary isotropic covariance model. The corresponding covariance function only depends on the distance \(r \ge 0\) between two points and is given by $$C(r) = e^{-r^2}$$

Usage

gauss(x, derivative=0)

Arguments

x

numerical vector; for negative values the modulus is used

derivative

value in 0:4.

Value

If derivative=0, the function value is returned, otherwise the derivativeth derivative.

A vector of length(x) is returned; nu is recycled; scaling is recycled if numerical.

References

Gelfand, A. E., Diggle, P., Fuentes, M. and Guttorp, P. (eds.) (2010) Handbook of Spatial Statistics. Boca Raton: Chapman & Hall/CRL.

Stein, M. L. (1999) Interpolation of Spatial Data. New York: Springer-Verlag

Examples

# NOT RUN {
x <- 3
confirm(gauss(x), exp(-x^2))
# }