Zhigen Zhao

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20092020

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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.ST2009

Decision Approach and Empirical Bayes FCR-Controlling Interval for Mixed Prior Model

Zhigen Zhao

In this paper, I apply the decision theory and empirical Bayesian approach to construct confidence intervals for selected populations when true parameters follow a mixture prior di…