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High-dimensional Data Bootstrap

Victor Chernozhukov, Denis Chetverikov, Kengo Kato and Yuta Koike

Papers from arXiv.org

Abstract: This article reviews recent progress in high-dimensional bootstrap. We first review high-dimensional central limit theorems for distributions of sample mean vectors over the rectangles, bootstrap consistency results in high dimensions, and key techniques used to establish those results. We then review selected applications of high-dimensional bootstrap: construction of simultaneous confidence sets for high-dimensional vector parameters, multiple hypothesis testing via stepdown, post-selection inference, intersection bounds for partially identified parameters, and inference on best policies in policy evaluation. Finally, we also comment on a couple of future research directions.

Date: 2022-05
New Economics Papers: this item is included in nep-ecm and nep-ets
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