A multidimensional analogue of the Rademacher-Gaussian tail comparison
classification
🧮 math.PR
keywords
comparisoneuclideanrandomtailvectorsanaloguecentreddimension-free
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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.
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