activity
20152026
most citedRobust estimation and inference for heavy tailed GARCH

22 citations · 22 across the 6 of their papers we have counts for

collaborators

6 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.PR2025

Symmetrization for high dimensional dependent random variables

Jonathan B. Hill

We establish a generic symmetrization property for dependent random variables on , where is allowed. We link $\mathbb{E}ψ(\max_{1…

math.PR2025

-maximal inequality for high dimensional means under dependence

Jonathan B. Hill

We derive an -maximal inequality for zero mean dependent random variables on , where is allowed. The upper bo…

math.ST2025

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_…

stat.ME2015

A Smoothed P-Value Test When There is a Nuisance Parameter under the Alternative

Jonathan B. Hill

We present a new test when there is a nuisance parameter under the alternative hypothesis. The test exploits the p-value occupation time [PVOT], the measure of the nuisance paramet…

math.ST2015★ 22 cited

Robust estimation and inference for heavy tailed GARCH

Jonathan B. Hill

We develop two new estimators for a general class of stationary GARCH models with possibly heavy tailed asymmetrically distributed errors, covering processes with symmetric and asy…