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Project Citation: 

Li, Jessie. Code for: The Proximal Bootstrap for Finite-Dimensional Regularized Estimators. Nashville, TN: American Economic Association [publisher], 2021. Ann Arbor, MI: Inter-university Consortium for Political and Social Research [distributor], 2021-05-17. https://doi.org/10.3886/E130627V1

Project Description

Summary:  View help for Summary We propose a proximal bootstrap that can consistently estimate the limiting distribution of $\sqrt{n}$ consistent estimators with nonstandard asymptotic distributions in a computationally efficient manner by formulating the proximal bootstrap estimator as the solution to a convex optimization problem, which can have a closed form solution for certain designs. This paper considers the application to finite-dimensional regularized estimators, such as the Lasso, $\ell_{1}$ norm regularized quantile regression, $\ell_{1}$ norm support vector regression, and trace regression via nuclear norm regularization.

Scope of Project

Subject Terms:  View help for Subject Terms bootstrap; convex optimization ; proximal mapping
JEL Classification:  View help for JEL Classification
      C15 Statistical Simulation Methods: General
      C51 Model Construction and Estimation


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