Jonathan B. Hill

collaborators

4 papers

math.ST2026

A High Dimensional Wild Bootstrap Max-Test for Detecting the Presence of Significant Predictors

Jonathan B. Hill

We construct a block bootstrap max-test for detecting the presence of significant predictors in a high dimensional setting, allowing for weakly dependent and heterogeneous (possibl…

math.ST2026

Max-laws of large numbers for weakly dependent high dimensional arrays with applications

Jonathan B. Hill

We derive so-called weak and strong \textit{max-laws of large numbers} for for zero mean stochastic triangular arrays $\{x_…

math.PR2025

Symmetrization for high dimensional dependent random variables

Jonathan B. Hill

We establish a generic symmetrization property for dependent random variables ${x_{t}}_{t = 1}^{n}$ on $R^{p}$ , where $p$ $>>$ $n$ is allowed. We link $\mathbb{E}Ï(\max_{…

math.PR2025

$L_{q}$ -maximal inequality for high dimensional means under dependence

Jonathan B. Hill

We derive an $L_{q}$ -maximal inequality for zero mean dependent random variables ${x_{t}}_{t = 1}^{n}$ on $R^{p}$ , where $p$ $>>$ is allowed. The upper bo…

A High Dimensional Wild Bootstrap Max-Test for Detecting the Presence of Significant Predictors

Max-laws of large numbers for weakly dependent high dimensional arrays with applications

Symmetrization for high dimensional dependent random variables

Lq​-maximal inequality for high dimensional means under dependence

$L_{q}$ -maximal inequality for high dimensional means under dependence