A multidimensional analogue of the Rademacher-Gaussian tail comparison
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- by Piotr Nayar and Tomasz Tkocz PDF
- Proc. Amer. Math. Soc. 146 (2018), 413-419 Request permission
Abstract:
We prove a dimension-free tail comparison between the Euclidean norms of sums of independent random vectors uniformly distributed in centred Euclidean spheres and properly rescaled standard Gaussian random vectors.References
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Additional Information
- Piotr Nayar
- Affiliation: Wharton Statistics Department, University of Pennsylvania, 3730 Walnut Street, Philadelphia, Pennsylvania 19104
- MR Author ID: 890939
- Email: nayar@mimuw.edu.pl
- Tomasz Tkocz
- Affiliation: Department of Mathematics, Fine Hall, Princeton University, Princeton, New Jersey 08544
- MR Author ID: 926927
- Email: ttkocz@princeton.edu
- Received by editor(s): July 26, 2016
- Received by editor(s) in revised form: March 6, 2017
- Published electronically: September 28, 2017
- Additional Notes: The authors were supported in part by the Simons Foundation. The first author was supported in part by NCN grant DEC-2012/05/B/ST1/00412.
- Communicated by: Thomas Schlumprecht
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 413-419
- MSC (2010): Primary 60E15; Secondary 60G15, 60G50
- DOI: https://doi.org/10.1090/proc/13731
- MathSciNet review: 3723150