Description Usage Arguments Value Functions Parameterization
From a matrix of locations and covariance parameters of the form (variance, spatial range, temporal range, smoothness, category, nugget), return the square matrix of all pairwise covariances.
1 2 3 | matern_spacetime_categorical(covparms, locs)
d_matern_spacetime_categorical(covparms, locs)
|
covparms |
A vector with covariance parameters in the form (variance, spatial range, temporal range, smoothness, category, nugget) |
locs |
A matrix with |
A matrix with n
rows and n
columns, with the i,j entry
containing the covariance between observations at locs[i,]
and
locs[j,]
.
d_matern_spacetime_categorical
: Derivatives of isotropic Matern covariance
The covariance parameter vector is (variance, range, smoothness, category, nugget) = (σ^2,α_1,α_2,ν,c^2,τ^2), and the covariance function is parameterized as
d = ( || x - y ||^2/α_1 + |s-t|^2/α_2^2 )^{1/2}
M(x,y) = σ^2 2^{1-ν}/Γ(ν) (d)^ν K_ν(d)
(x,s) and (y,t) are the space-time locations of a pair of observations. The nugget value σ^2 τ^2 is added to the diagonal of the covariance matrix. The category variance c^2 is added if two observation from same category NOTE: the nugget is σ^2 τ^2 , not τ^2 .
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