3 papers
stat.ME2026
Studentized Cheap Bootstrap: Achieving Higher-Order Coverage Accuracy with Low Computation
Shengyi He, Henry Lam, Yunhao Yan
The bootstrap is a versatile method for quantifying statistical uncertainty. Among its variants, a popular approach, the studentized bootstrap, provably achieves higher-order cover…
math.AP2026
On a Local Radial Rigidity Phenomenon of Elliptic Systems on Riemannian Manifolds
Yifei Pan, Yu Yan, Yuan Zhang
In this paper, we study local radial rigidity phenomena for a broad class of general-order elliptic systems on Riemannian manifolds via a reduction to singular ordinary differentia…
math.AP2024
On Local Solutions of Second Order Quasi-linear Elliptic Systems with Arbitrary 1-Jet at a Point
Yifei Pan, Yu Yan
We prove a general result on the existence of local solutions of any second order quasi-linear elliptic system with arbitrary 1-jet at a point.