Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding
空间混杂下高斯随机场间回归斜率的相合填充可估计性
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 the recent statistical literature. Yet, a fundamental question remains unresolved: when is this slope consistently estimable under spatial confounding, with existing insights being largely empirical or estimator-specific. We characterize conditions for consistent estimability of the regression slope…