# Honest Confidence Regions for Logistic Regression with a Large Number of Controls

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This paper considers inference in logistic regression models with high dimensional data. We propose new inference tools on constructing confidence regions for a regression parameter of primary interest $\alpha 0$. These tools allow the total number of controls to exceed the sample size when only a subset of the controls are needed for the regression. Importantly, we show that these resulting confidence regions are -honest- in the formal sense that they hold uniformly over many data-generating processes, and do not rely on traditional consistent model selection arguments. Consequently, the inferential results derived are robust against model selection mistakes.

Autor: Alexandre Belloni; Victor Chernozhukov; Ying Wei

Fuente: https://archive.org/