17 citations · 41 across the 10 of their papers we have counts for
7 papers · 1 filter
Sharp estimates for the Cramér transform of log-concave measures and geometric applications
Silouanos Brazitikos, Giorgos Chasapis
We establish a new comparison between the Legendre transform of the cumulant generating function and the half-space depth of an arbitrary log-concave probability distribution on th…
Haagerup's phase transition at polydisc slicing
Giorgos Chasapis, Salil Singh, Tomasz Tkocz
We establish a sharp comparison inequality between the negative moments and the second moment of the magnitude of sums of independent random vectors uniform on three-dimensional Eu…
Sharp Rosenthal-type inequalities for mixtures and log-concave variables
Giorgos Chasapis, Alexandros Eskenazis, Tomasz Tkocz
We obtain Rosenthal-type inequalities with sharp constants for moments of sums of independent random variables which are mixtures of a fixed distribution. We also identify extremis…
Entropies of sums of independent gamma random variables
Giorgos Chasapis, Salil Singh, Tomasz Tkocz
We establish several Schur-convexity type results under fixed variance for weighted sums of independent gamma random variables and obtain nonasymptotic bounds on their Rényi entrop…
Rademacher-Gaussian tail comparison for complex coefficients and related problems
Giorgos Chasapis, Ruoyuan Liu, Tomasz Tkocz
We provide a generalisation of Pinelis' Rademacher-Gaussian tail comparison to complex coefficients. We also establish uniform bounds on the probability that the magnitude of weigh…
Sharp bounds on -norms for sums of independent uniform random variables,
Giorgos Chasapis, Keerthana Gurushankar, Tomasz Tkocz
We provide a sharp lower bound on the -norm of a sum of independent uniform random variables in terms of its variance when . We address an analogous question for -…
From Ball's cube slicing inequality to Khinchin-type inequalities for negative moments
Giorgos Chasapis, Hermann König, Tomasz Tkocz
We establish a sharp moment comparison inequality between an arbitrary negative moment and the second moment for sums of independent uniform random variables, which extends Ball's…