From a matrix of locations and covariance parameters of the form (variance, range_1, ..., range_d, nugget), return the square matrix of all pairwise covariances.
matern35_scaledim(covparms, locs)d_matern35_scaledim(covparms, locs)
d_matern45_scaledim(covparms, locs)
A matrix with n
rows and n
columns, with the i,j entry
containing the covariance between observations at locs[i,]
and
locs[j,]
.
A vector with covariance parameters in the form (variance, range_1, ..., range_d, nugget)
A matrix with n
rows and d
columns.
Each row of locs is a point in R^d.
d_matern35_scaledim()
: Derivatives with respect to parameters
d_matern45_scaledim()
: Derivatives with respect to parameters
The covariance parameter vector is (variance, range_1, ..., range_d, nugget). The covariance function is parameterized as $$ M(x,y) = \sigma^2 ( \sum_{j=0}^3 c_j || D^{-1}(x - y) ||^j ) exp( - || D^{-1}(x - y) || ) $$ where c_0 = 1, c_1 = 1, c_2 = 2/5, c_3 = 1/15. where D is a diagonal matrix with (range_1, ..., range_d) on the diagonals. The nugget value \( \sigma^2 \tau^2 \) is added to the diagonal of the covariance matrix. NOTE: the nugget is \( \sigma^2 \tau^2 \), not \( \tau^2 \).