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...
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 |
Similar Items
-
Square-Root Lasso: Pivotal Recovery of Sparse Signals via Conic Programming
by: Belloni, Alexandre, et al.
Published: (2011) -
Square-root lasso: pivotal recovery of sparse signals via conic programming
by: Bellini, A., et al.
Published: (2012) -
quantreg.nonpar: an R package for performing nonparametric series quantile regression
by: Lipsitz, Michael, et al.
Published: (2019) -
Lasso Methods for Gaussian Instrumental Variables Models
by: Belloni, Alexandre, et al.
Published: (2011) -
Post-[script l]\2081-penalized estimators in high-dimensional linear regression models
by: Belloni, Alexandre, et al.
Published: (2011)