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math.PR2022
Central limit theorem for intrinsic Frechet means in smooth compact Riemannian manifolds
Thomas Hotz, Huiling Le, Andrew T. A. Wood
We prove a central limit theorem (CLT) for the Frechet mean of independent and identically distributed observations in a compact Riemannian manifold assuming that the population Fr…
math.PR2011★ 6 cited
Limit theorems for empirical Fréchet means of independent and non-identically distributed manifold-valued random variables
Wilfrid S. Kendall, Huiling Le
We prove weak laws of large numbers and central limit theorems of Lindeberg type for empirical centres of mass (empirical Fréchet means) of independent non-identically distributed…