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math.ST2026
Density estimation from batched broken random samples
Hancheng Bi, Bernhard Schmitzer, Thilo D. Stier
The broken random sample problem was first introduced by DeGroot, Feder, and Gole (1971, Ann. Math. Statist.): in each observation (batch), a random sample of i.i.d. point pair…
math.ST2023
A Dimension-Independent Bound on the Wasserstein Contraction Rate of a Geodesic Random Walk on the Sphere
Philip Schär, Thilo D. Stier
We theoretically analyze the properties of a geodesic random walk on the Euclidean -sphere. Specifically, we prove that the random walk's transition kernel is Wasserstein contra…