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#' Fit a spatially mean-zero spatial Gaussian process model
#'
#' Uses a Gibbs sampler to estimate the parameters of a Matern covariance
#' function used to model observations from a Gaussian process with mean 0.
#'
#' @import Rcpp
#' @importFrom stats dist
#'
#' @export
#'
#' @useDynLib bisque, .registration = TRUE
#'
#' @param x Observation of a spatial Gaussian random field, passed as a vector
#' @param coords Spatial coordinates of the observation
#' @param nSamples (thinned) number of MCMC samples to generate
#' @param inits list of initial parameters for the MCMC chain
#' @param thin thinning to be used within the returned MCMC samples
#' @param rw.initsd initial standard devaition for random walk proposals. this
#' parameter will be adaptively tuned during sampling
#' @param C scale factor used during tuning of the random walk proposal s.d.
#' @param alpha target acceptance rate for which the random walk proposals
#' should optimize
#' @param priors parameters to specify the prior distributions for the model
#'
#' @example examples/spatial.R
#'
sFit = function(x, coords, nSamples, thin=1, rw.initsd=.1, inits = list(),
C=1, alpha=.44, priors = list(sigmasq = list(a=2, b=1),
rho = list(L=0, U=1), nu = list(L=0, U=1))) {
d = as.matrix(dist(coords))
if(is.null(inits)) {
inits = list()
}
res <- .Call(`t_sfit`, as.double(x), as.matrix(d), as.double(priors$sigmasq$a),
as.double(priors$sigmasq$b), as.double(priors$rho$L),
as.double(priors$rho$U), as.double(priors$nu$L),
as.double(priors$nu$U), as.integer(nSamples), as.integer(thin),
as.double(rw.initsd), as.list(inits), as.double(C),
as.double(alpha))
reslist = list(
parameters = list(samples = res),
priors = priors,
coords = coords
)
class(reslist) = 'sFit'
reslist
}
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