Identifiability for Non - Stationary Spatial Structureolivier
نویسنده
چکیده
For modelling non-stationary spatial random elds Z = fZ(x) : x 2 R n ; n 2g a recent method has been proposed to deform bijectively the index space so that the spatial dispersion D(x; y) = varZ(x) ? Z(y)], (x; y) 2 R n R n , depends only on the Euclidean distance in the deformed space through a stationary and isotropic variogram. We prove uniqueness of this model in two diierent cases: (i) is strictly increasing; (ii) (u) is diierentiable for u > 0.
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