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Fixed and Increasing Domain Asymptotics for the Roughness and Scale of Isotropic Gaussian Random Fields
Varun Kotharkar, Michael L. Stein
We establish a rigorous asymptotic theory for the joint estimation of roughness and scale parameters in two-dimensional Gaussian random fields with power-law generalized covariance…
math.ST2025
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding
Abhirup Datta, Michael L. Stein
The problem of estimating the slope parameter in regression between two spatial processes under confounding by an unmeasured spatial process has received widespread attention in th…