Adaptive Neyman allocation yields strict MSE gains over uniform sampling under variance heterogeneity at finite samples, while SARP and NARP policies achieve optimal convergence rates for joint inference-regret objectives.
Since˜mt is nondecreasing int, we have˜mtr+K ≥˜mu−1 ≥α √u
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Benefits and Costs of Adaptive Sampling
Adaptive Neyman allocation yields strict MSE gains over uniform sampling under variance heterogeneity at finite samples, while SARP and NARP policies achieve optimal convergence rates for joint inference-regret objectives.