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.
Estimation and prediction using generalized W endland covariance functions under fixed domain asymptotics
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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.