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math.PR2016★ 52 cited
Gaussian mixtures: entropy and geometric inequalities
Alexandros Eskenazis, Piotr Nayar, Tomasz Tkocz
A symmetric random variable is called a Gaussian mixture if it has the same distribution as the product of two independent random variables, one being positive and the other a stan…
math.PR2016
A multidimensional analogue of the Rademacher-Gaussian tail comparison
Piotr Nayar, Tomasz Tkocz
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…