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math.ST2024
The Long Time Limit of Diffusion Means
Till Düsberg, Benjamin Eltzner
In statistics on manifolds, the notion of the mean of a probability distribution becomes more involved than in a linear space. Several location statistics have been proposed, which…
math.ST2024
A Lower Bound for Estimating Fréchet Means
Shayan Hundrieser, Benjamin Eltzner, Stephan F. Huckemann
Fréchet means, conceptually appealing, generalize the Euclidean expectation to general metric spaces. We explore how well Fréchet means can be estimated from independent and identi…