7 citations · 10 across the 7 of their papers we have counts for
7 papers
Anti-concentration of Suprema of Gaussian Processes and Gaussian Order Statistics
Alexander Giessing
We derive, up to a constant factor, matching lower and upper bounds on the concentration functions of suprema of separable centered Gaussian processes and order statistics of Gauss…
Gaussian and Bootstrap Approximations for Suprema of Empirical Processes
Alexander Giessing
In this paper we develop non-asymptotic Gaussian approximation results for the sampling distribution of suprema of empirical processes when the indexing function class $\mathcal{F}…
A Bootstrap Hypothesis Test for High-Dimensional Mean Vectors
Alexander Giessing, Jianqing Fan
This paper is concerned with testing global null hypotheses about population mean vectors of high-dimensional data. Current tests require either strong mixing (independence) condit…
Debiased Inference on Heterogeneous Quantile Treatment Effects with Regression Rank-Scores
Alexander Giessing, Jingshen Wang
Understanding treatment effect heterogeneity is vital to many scientific fields because the same treatment may affect different individuals differently. Quantile regression provide…
Bootstrapping -Statistics in High Dimensions
Alexander Giessing, Jianqing Fan
This paper considers a new bootstrap procedure to estimate the distribution of high-dimensional -statistics, i.e. the -norms of the sum of independent -dimen…
On the Predictive Risk in Misspecified Quantile Regression
Alexander Giessing, Xuming He
In the present paper we investigate the predictive risk of possibly misspecified quantile regression functions. The in-sample risk is well-known to be an overly optimistic estimate…