5 papers
On Subgradients of Convex Functions and Orlicz Pseudo-Norms for Vector-Valued Functions
Sergey G. Bobkov, Friedrich Götze
We discuss variants of construction of measurable subgradients for multivariate convex functions and the problem of characterization of the -condition in terms of their direc…
Quantified Cramér-Wold Continuity Theorem for the Kantorovich Transport Distance
Sergey G. Bobkov, Friedrich Götze
An upper bound for the Kantorovich transport distance between probability measures on multidimensional Euclidean spaces is given in terms of transport distances between one dimensi…
Energy Bounds for Kantorovich Transport Distances with Convex Cost Functions
Sergey Bobkov, Friedrich Götze
Energy bounds for Kantorovich transport distances are developed for convex cost functions. The main results extend estimates due to M. Ledoux for the Kantorovich distances .
A Quantitative Cramér-Wold Theorem for Zolotarev Distances
Sergey G. Bobkov, Friedrich Götze
An upper bound for Zolotarev distances between probability measures on multidimensional Euclidean spaces is given in terms of similar distances between one dimensional projections.
Rényi Divergences in Central Limit Theorems: Old and New
S. G. Bobkov, G. P. Chistyakov, F. Götze
We give an overview of various results and methods related to information-theoretic distances of Rényi type in the light of their applications to the central limit theorem (CLT).…