Pivotal estimation via square-root Lasso in nonparametric regression

We propose a self-tuning √Lasso method that simultaneously resolves three important practical problems in high-dimensional regression analysis, namely it handles the unknown scale, heteroscedasticity and (drastic) non-Gaussianity of the noise. In addition, our analysis allows for badly behaved desig...

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Bibliographic Details
Main Authors: Belloni, Alexandre, Wang, Lie, Chernozhukov, Victor V.
Other Authors: Massachusetts Institute of Technology. Department of Economics
Format: Article
Language:en_US
Published: Institute of Mathematical Statistics 2015
Online Access:http://hdl.handle.net/1721.1/93187
https://orcid.org/0000-0003-3582-8898
https://orcid.org/0000-0002-3250-6714