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.

翻译：本文在线性$\ell_1$（LAD）回归与分位数回归中提出了一种新颖的检验方法。该检验基于计算（所谓的）仿射LASSO估计时产生的对偶变量（符号）所提供的得分——这是一种Rao型、拉格朗日乘子检验，它利用了该估计的一个经阈值化处理（朝向检验的零假设）的函数。