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math.ST2026
Curve Band Depth: A Band-Based Data Depth for Unparameterized Planar Curves
Siyi Wang, Alexandre Leblanc, Paul D. McNicholas
We introduce \emph{curve band depth} (CBD), a band-based data depth for samples of \emph{unparameterized} planar curves. CBD is motivated by band depth and modified band depth for…
math.ST2025
-integrated local depth and corresponding partitioned local depth representation
Siyi Wang, Alexandre Leblanc, Paul D. McNicholas
A novel local depth definition, -integrated local depth (-ILD), is proposed as a generalization of the local depth introduced by Paindaveine and Van Bever \cite{paindaveine20…