11 citations · 14 across the 11 of their papers we have counts for
14 papers
Moment free deviation inequalities for linear combinations of independent random variables with power-type tails
Daniel J. Fresen
We present order of magnitude estimates for the quantiles of non-negative linear combinations of non-negative random variables, as well as deviation inequalities for general linear…
Optimal tail comparison under convex majorization
Daniel J. Fresen
Following results of Kemperman and Pinelis, we show that if and are real valued random variables such that and for all non-decrea…
Convex subsets of non-convex Lorentz balls
Daniel J. Fresen
Many star bodies have convex subsets with approximately the same Gaussian measure (of the complement). Inspired by this phenomenon, and in connection with the randomized Dvoretzky…
Variations and extensions of the Gaussian concentration inequality, Part II
Daniel J. Fresen
We prove concentration inequalities for about its median, where is a random vector in with independent heavy tailed coordinates of Weibull or…
Random Euclidean embeddings in finite dimensional Lorentz spaces
Daniel J. Fresen
Quantitative bounds for random embeddings of into Lorentz sequence spaces are given, with improved dependence on .
A simplified proof of CLT for convex bodies
Daniel J. Fresen
We present a short proof of Klartag's central limit theorem for convex bodies, using only the most classical facts about log-concave functions. An appendix is included where we giv…