Keisuke Hirano, Jack R. Porter
arXiv 6 Feb 2023 · Econometrics · 3 citations (OpenAlex)
arXiv:2302.03117 · PDF · DOI · OpenAlex · Extracted main text
We develop asymptotic approximations that can be applied to sequential estimation and inference problems, adaptive randomized controlled trials, and related settings. In batched adaptive settings where the decision at one stage can affect the observation of variables in later stages, our asymptotic representation characterizes all limit distributions attainable through a joint choice of an adaptive design rule and statistics applied to the adaptively generated data. This facilitates local power analysis of tests, comparison of adaptive treatments rules, and other analyses of batchwise sequential statistical decision rules.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Zhang, Janson, and Murphy (2020) Inference for Batched Bandits | 1.000 | 6 | 3 | 100% |
| 2 | Hadad, Hirshberg, Zhan, Wager, and Athey (2021) Confidence Intervals for Policy Evaluation in Adaptive Experiments | 1.000 | 5 | 3 | 100% |
| 3 | van der Vaart (1998) Asymptotic Statistics | 0.737 | 4 | 3 | 50% |
| 4 | Hirano and Porter (2009) Asymptotics for Statistical Treatment Rules | 0.737 | 3 | 2 | 100% |
| 5 | Adusumilli (2025) Optimal Tests Following Sequential Experiments | 0.644 | 2 | 2 | 100% |
| 6 | Chen and Andrews (2023) Optimal Conditional Inference in Adaptive Experiments | 0.644 | 2 | 2 | 100% |
| 7 | Adusumilli (2022) Risk and Optimal Policies in Bandit Experiments | 0.585 | 3 | 1 | 100% |
| 8 | Fan and Glynn (2021) Diffusion Approximations for Thompson Sampling | 0.511 | 2 | 1 | 100% |
| 9 | Kalvit and Zeevi (2021) A Closer Look at the Worst-case Behavior of Multi-armed Bandit Algorithms | 0.511 | 2 | 1 | 100% |
| 10 | Manski (2004) Statistical Treatment Rules for Heterogeneous Populations | 0.511 | 2 | 1 | 100% |
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