arXiv 23 Jan 2024 · Econometrics
arXiv:2401.13057 · PDF · DOI · OpenAlex · Extracted main text
We provide a means of computing and estimating the asymptotic distributions of statistics based on an outer minimization of an inner maximization. Such test statistics, which arise frequently in moment models, are of special interest in providing hypothesis tests under partial identification. Under general conditions, we provide an asymptotic characterization of such test statistics using the minimax theorem, and a means of computing critical values using the bootstrap. Making some light regularity assumptions, our results augment several asymptotic approximations that have been provided for partially identified hypothesis tests, and extend them by mitigating their dependence on local linear approximations of the parameter space. These asymptotic results are generally simple to state and straightforward to compute (esp.\ adversarially).
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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 | Santos, A (2012) Inference in nonparametric instrumental variables with partial identification | 0.971 | 12 | 4 | 92% |
| 2 | Chernozhukov, V., Newey, W. K., and Santos, A (2023) Constrained conditional moment restriction models | 0.965 | 10 | 4 | 90% |
| 3 | Hong, S (2017) Inference in semiparametric conditional moment models with partial identification | 0.950 | 7 | 4 | 86% |
| 4 | Fang, Z. and Seo, J (2021) A projection framework for testing shape restrictions that form convex cones | 0.874 | 6 | 2 | 100% |
| 5 | Zhu, Y (2020) Inference in nonparametric/semiparametric moment equality models with shape restrictions | 0.843 | 4 | 3 | 75% |
| 6 | Van der Vaart, A. and Wellner, J (1996) Weak Convergence and Empirical Processes | 0.833 | 19 | 4 | 58% |
| 7 | Conway, J (1994) A Course in Functional Analysis | 0.794 | 8 | 4 | 50% |
| 8 | Sion, M (1958) On general minimax theorems | 0.737 | 5 | 3 | 40% |
| 9 | Aliprantis, C. and Border, K (1999) Infinite Dimensional Analysis: A Hitchhiker's Guide | 0.737 | 3 | 2 | 100% |
| 10 | Fan, Y., Shi, X., and Tao, J (2023) Partial identification and inference in moment models with incomplete data | 0.737 | 3 | 2 | 100% |
Showing the top 10 of 34 scored citations.