3 papers
math.PR2026
On the Kolmogorov-Feller weak law of large numbers for the Fréchet mean on non-compact symmetric spaces
Jongmin Lee, Sungkyu Jung
We prove the Kolmogorov-Feller weak law of large numbers for sample Fréchet means on non-compact symmetric spaces. The result covers independent, non-identically distributed data,…
math.ST2026
General M-estimators of location on Riemannian manifolds: existence and uniqueness
Jongmin Lee, Sungkyu Jung
We study general M-estimators of location on Riemannian manifolds, extending classical notions such as the Frechet mean by replacing the squared loss with a broad class of loss fun…
math.ST2025
Huber means on Riemannian manifolds
Jongmin Lee, Sungkyu Jung
This article introduces Huber means on Riemannian manifolds, providing a robust alternative to the Frechet mean by integrating elements of both square and absolute loss functions.…