Inference for Interval-Identified Parameters Selected from an Estimated Set

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Hauptverfasser: Han, Sukjin, McCloskey, Adam
Format: Preprint
Veröffentlicht: 2024
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author Han, Sukjin
McCloskey, Adam
author_facet Han, Sukjin
McCloskey, Adam
contents Interval identification of parameters such as average treatment effects, average partial effects and welfare is particularly common when using observational data and experimental data with imperfect compliance due to the endogeneity of individuals' treatment uptake. In this setting, the researcher is typically interested in a treatment or policy that is either selected from the estimated set of best-performers or arises from a data-dependent selection rule. In this paper, we develop new inference tools for interval-identified parameters chosen via these forms of selection. We develop three types of confidence intervals for data-dependent and interval-identified parameters, discuss how they apply to several examples of interest and prove their uniform asymptotic validity under weak assumptions.
format Preprint
id arxiv_https___arxiv_org_abs_2403_00422
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Inference for Interval-Identified Parameters Selected from an Estimated Set
Han, Sukjin
McCloskey, Adam
Econometrics
Interval identification of parameters such as average treatment effects, average partial effects and welfare is particularly common when using observational data and experimental data with imperfect compliance due to the endogeneity of individuals' treatment uptake. In this setting, the researcher is typically interested in a treatment or policy that is either selected from the estimated set of best-performers or arises from a data-dependent selection rule. In this paper, we develop new inference tools for interval-identified parameters chosen via these forms of selection. We develop three types of confidence intervals for data-dependent and interval-identified parameters, discuss how they apply to several examples of interest and prove their uniform asymptotic validity under weak assumptions.
title Inference for Interval-Identified Parameters Selected from an Estimated Set
topic Econometrics
url https://arxiv.org/abs/2403.00422