Q. Lin

most citedOn the optimality of sliced inverse regression in high dimensions

10 citations · 10 across the 1 of their papers we have counts for

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math.ST2018

Global testing under the sparse alternatives for single index models

Qian Lin, Zhigen Zhao, Jun S. Liu

For the single index model $y = f (β^{τ} x, ε)$ with Gaussian design, %satisfying that rank $v a r (E [x ∣ y]) = 1$ where $f$ is unknown and $β$ is a sparse $p$ -dimensional unit vect…

math.ST2017★ 10 cited

On the optimality of sliced inverse regression in high dimensions

Qian Lin, Xinran Li, Dongming Huang +1

The central subspace of a pair of random variables $(y, x) \in R^{p + 1}$ is the minimal subspace $S$ such that $y ⊥ ⊥ x ∣ P_{S} x$ …