Papers › The ∞-S test via regression quantile affine LASSO

The ∞-S test via regression quantile affine LASSO

6 Sep 2024arXiv:2409.04256links table onlyarchive 2025-07-28

Sylvain Sardy, Ivan Mizera, Xiaoyu Ma, Hugo Gaible

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A novel test in the linear ℓ₁ (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.

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