2 papers
math.ST2021
Smeariness Begets Finite Sample Smeariness
Do Tran, Benjamin Eltzner, Stephan Huckemann
Fréchet means are indispensable for nonparametric statistics on non-Euclidean spaces. For suitable random variables, in some sense, they "sense" topological and geometric structure…
math.ST2019
Behavior of Fréchet mean and Central Limit Theorems on spheres
Do Tran
We compute higher derivatives of the Fréchet function on spheres with an absolutely continuous and rotationally symmetric probability distribution. Consequences include (i)~a pract…