Email this article On Ƶp-Norms of Random Vectors
- Authors: Latała R.1
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Affiliations:
- University of Warsaw
- Issue: Vol 238, No 4 (2019)
- Pages: 484-494
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242549
- DOI: https://doi.org/10.1007/s10958-019-04252-7
- ID: 242549
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Abstract
To any n-dimensional random vector X we may associate its Lp-centroid body Ƶp (X) and the corresponding norm. We formulate a conjecture concerning the bound on the Ƶp (X)-norm of X and show that it holds under some additional symmetry assumptions. We also relate our conjecture to estimates of covering numbers and Sudakov-type minoration bounds.
About the authors
R. Latała
University of Warsaw
Author for correspondence.
Email: rlatala@mimuw.edu.pl
Poland, Warsaw
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