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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.PR2012★ 56 cited
Sticky central limit theorems on open books
Thomas Hotz, Sean Skwerer, Stephan Huckemann +7
Given a probability distribution on an open book (a metric space obtained by gluing a disjoint union of copies of a half-space along their boundary hyperplanes), we define a precis…