The $\infty$-S test via regression quantile affine LASSO

Fuente: arXiv
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Auteurs principaux: Sardy, Sylvain, Mizera, Ivan, Ma, Xiaoyu, Gaible, Hugo
Format: Preprint
Publié: 2024
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author Sardy, Sylvain
Mizera, Ivan
Ma, Xiaoyu
Gaible, Hugo
author_facet Sardy, Sylvain
Mizera, Ivan
Ma, Xiaoyu
Gaible, Hugo
contents A novel test in the linear $\ell_1$ (LAD) and quantile regressions is proposed, based on the scores provided by the dual variables (signs) arising in the calculation of the (so-called) affine-lasso estimate--a Rao-type, Lagrange multiplier test using the thresholding, towards the null hypothesis of the test, function of the latter estimate.
format Preprint
id arxiv_https___arxiv_org_abs_2409_04256
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The $\infty$-S test via regression quantile affine LASSO
Sardy, Sylvain
Mizera, Ivan
Ma, Xiaoyu
Gaible, Hugo
Methodology
A novel test in the linear $\ell_1$ (LAD) and quantile regressions is proposed, based on the scores provided by the dual variables (signs) arising in the calculation of the (so-called) affine-lasso estimate--a Rao-type, Lagrange multiplier test using the thresholding, towards the null hypothesis of the test, function of the latter estimate.
title The $\infty$-S test via regression quantile affine LASSO
topic Methodology
url https://arxiv.org/abs/2409.04256