Jonathan B. Hill

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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…

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