R: Priors specification

control.prior {PrevMap}

R Documentation

Priors specification

Description

This function is used to define priors for the model parameters of a Bayesian geostatistical model.

Usage

control.prior(
  beta.mean,
  beta.covar,
  log.prior.sigma2 = NULL,
  log.prior.phi = NULL,
  log.prior.nugget = NULL,
  uniform.sigma2 = NULL,
  log.normal.sigma2 = NULL,
  uniform.phi = NULL,
  log.normal.phi = NULL,
  uniform.nugget = NULL,
  log.normal.nugget = NULL
)

Arguments

`beta.mean`	mean vector of the Gaussian prior for the regression coefficients.
`beta.covar`	covariance matrix of the Gaussian prior for the regression coefficients.
`log.prior.sigma2`	a function corresponding to the log-density of the prior distribution for the variance `sigma2` of the Gaussian process. Warning: if a low-rank approximation is used, then `sigma2` corresponds to the variance of the iid zero-mean Gaussian variables. Default is `NULL`.
`log.prior.phi`	a function corresponding to the log-density of the prior distribution for the scale parameter of the Matern correlation function; default is `NULL`.
`log.prior.nugget`	optional: a function corresponding to the log-density of the prior distribution for the variance of the nugget effect; default is `NULL` with no nugget incorporated in the model; default is `NULL`.
`uniform.sigma2`	a vector of length two, corresponding to the lower and upper limit of the uniform prior on `sigma2`. Default is `NULL`.
`log.normal.sigma2`	a vector of length two, corresponding to the mean and standard deviation of the distribution on the log scale for the log-normal prior on `sigma2`. Default is `NULL`.
`uniform.phi`	a vector of length two, corresponding to the lower and upper limit of the uniform prior on `phi`. Default is `NULL`.
`log.normal.phi`	a vector of length two, corresponding to the mean and standard deviation of the distribution on the log scale for the log-normal prior on `phi`. Default is `NULL`.
`uniform.nugget`	a vector of length two, corresponding to the lower and upper limit of the uniform prior on `tau2`. Default is `NULL`.
`log.normal.nugget`	a vector of length two, corresponding to the mean and standard deviation of the distribution on the log scale for the log-normal prior on `tau2`. Default is `NULL`.

Value

a list corresponding the prior distributions for each model parameter.

Author(s)

Emanuele Giorgi e.giorgi@lancaster.ac.uk