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math.PR2023
Central limit theorems for Fréchet means on stratified spaces
Jonathan C. Mattingly, Ezra Miller, Do Tran
Fréchet means of samples from a probability measure on any smoothly stratified metric space M with curvature bounded above are shown to satisfy a central limit theorem (CLT). T…
math.PR2023
A central limit theorem for random tangent fields on stratified spaces
Jonathan C. Mattingly, Ezra Miller, Do Tran
Variation of empirical Fréchet means on a metric space with curvature bounded above is encoded via random fields indexed by unit tangent vectors. A central limit theorem shows thes…