L_n = ω(r_n^{1/4}) ensures valid uniform inference for twice differentiable Donsker-class functions estimated at the r_n^{1/2} rate by making grid approximation error negligible relative to stochastic variation.
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A Grid-Rate Condition for Valid Uniform Inference
L_n = ω(r_n^{1/4}) ensures valid uniform inference for twice differentiable Donsker-class functions estimated at the r_n^{1/2} rate by making grid approximation error negligible relative to stochastic variation.