In Matérn spatial models with a nugget, the nugget and the microergodic parameter σ²φ²ν are identifiable and consistently estimable by maximum likelihood in dimensions up to 3, conditional on conjectural eigenvalue lower bounds.
The role of the range parameter for estimation and prediction in geostatistics
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On identifiability and consistency of the nugget in Gaussian spatial process models
In Matérn spatial models with a nugget, the nugget and the microergodic parameter σ²φ²ν are identifiable and consistently estimable by maximum likelihood in dimensions up to 3, conditional on conjectural eigenvalue lower bounds.