3 papers
math.PR2025
Weighted CKP Inequalities Involving Rényi Divergence Powers
Sergey G. Bobkov, Devraj Duggal
Pinsker-type inequalities are considered for the weighted total variation distance between probability measures in terms of the Rényi divergence powers. They are applied in derivat…
math.PR2024
Spherical Covariance Representations
Sergey G. Bobkov, Devraj Duggal
Covariance representations are developed for the uniform distributions on the Euclidean spheres in terms of spherical gradients and Hessians. They are applied to derive a number of…
math.PR2024
Höffding's Kernels and Periodic Covariance Representations
Sergey G. Bobkov, Devraj Duggal
We start with a brief survey on Höffding's kernels, its properties, related spectral decompositions, and discuss marginal distributions of Höffding measures. In the second part of…