Wasserstein and weighted metrics for multidimensional Gaussian distributions

We present a number of low and upper bounds for Levy – Prokhorov, Wasserstein, Frechet, and Hellinger distances between probability distributions of the same or different dimensions. The weighted (or context-sensitive) total variance and Hellinger  distances are introduce...

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Bibliographic Details
Main Authors: Kelbert, Mark Yakovlevich, Suhov, Yurii M.
Format: Article
Language:English
Published: Saratov State University 2023-11-01
Series:Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
Subjects:
Online Access:https://mmi.sgu.ru/sites/mmi.sgu.ru/files/text-pdf/2023/11/422-434-kelbert-suhov.pdf