Gaussian Process Model Specification

Specifies the terms, smoothness, and nugget effect for a Gaussian Process (GP) model.

Usage

gp(..., kappa = 0.5, nugget = 0)

Arguments

...: Variables representing the spatial coordinates or covariates for the GP model.
kappa: The smoothness parameter \(\kappa\). Default is 0.5.
nugget: The nugget effect, which represents the variance of the measurement error. Default is 0. A positive numeric value must be provided if not using the default.

Value

A list of class gp.spec containing the following elements:

term: A character vector of the specified terms.
kappa: The smoothness parameter \(\kappa\).
nugget: The nugget effect.
dim: The number of specified terms.
label: A character string representing the full call for the GP model.

Details

The function constructs a list that includes the specified terms (spatial coordinates or covariates), the smoothness parameter \(\kappa\), and the nugget effect. This list can be used as a specification for a Gaussian Process model.

Note

The nugget effect must be a positive real number if specified.

Author

Emanuele Giorgi e.giorgi@lancaster.ac.uk

Claudio Fronterre c.fronterr@lancaster.ac.uk