The paper derives rate-sharp regret bounds showing how estimate precision affects policy performance with latent traits and provides a sufficient condition for minimax-optimal data collection plans balancing measurement accuracy and sample size.
Conditional onm:=m(X i), P(Ai <0|m) =P(m+Ui <0|m) = r−m 2r ,0≤m<r, 0, m≥r (B163) and symmetrically form<0
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Better Measurement or Larger Samples? Data Collection for Policy Learning with Unobserved Heterogeneity
The paper derives rate-sharp regret bounds showing how estimate precision affects policy performance with latent traits and provides a sufficient condition for minimax-optimal data collection plans balancing measurement accuracy and sample size.