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.
Step 1: Approximation-error lower bound.Fixσ 0 >0 and consider the following data-generating processP σ
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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.