17 citations · 41 across the 10 of their papers we have counts for
3 papers · 1 filter
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…