Morgane Austern

activity

20172026

most citedAsymptotics of the Empirical Bootstrap Method Beyond Asymptotic Normality

1 citations · 1 across the 5 of their papers we have counts for

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math.PR2023

Wasserstein-p Bounds via Cumulant-Based Edgeworth Expansion for $α$ -Mixing Random Fields

Tianle Liu, Morgane Austern

Recent progress has been made in establishing normal approximation bounds in terms of the Wasserstein- $p$ distance for i.i.d. and locally dependent random variables. However, for $…

math.PR2023

Wasserstein-p Bounds in the Central Limit Theorem Under Local Dependence

Tianle Liu, Morgane Austern

The central limit theorem (CLT) is one of the most fundamental results in probability; and establishing its rate of convergence has been a key question since the 1940s. For indepen…

Wasserstein-p Bounds via Cumulant-Based Edgeworth Expansion for α-Mixing Random Fields

Wasserstein-p Bounds in the Central Limit Theorem Under Local Dependence

Wasserstein-p Bounds via Cumulant-Based Edgeworth Expansion for $α$ -Mixing Random Fields