30 citations · 416 across the 73 of their papers we have counts for
4 papers · 1 filter
Probability inequalities for strongly left-invariant metric semigroups/monoids, including all Lie groups
Apoorva Khare
Recently, a general version of the Hoffmann-Jorgensen inequality was shown jointly with Rajaratnam [Ann. Probab. 2017], which (a) improved the result even for real-valued variables…
The Khinchin-Kahane and Levy inequalities for abelian metric groups, and transfer from normed (abelian semi)groups to Banach spaces
Apoorva Khare, Bala Rajaratnam
The Khinchin-Kahane inequality is a fundamental result in the probability literature, with the most general version to date holding in Banach spaces. Motivated by modern settings a…
The Hoffmann-Jorgensen inequality in metric semigroups
Apoorva Khare, Bala Rajaratnam
We prove a refinement of the inequality by Hoffmann-Jorgensen that is significant for three reasons. First, our result improves on the state-of-the-art even for real-valued random…
Probability inequalities and tail estimates for metric semigroups
Apoorva Khare, Bala Rajaratnam
We study probability inequalities leading to tail estimates in a general semigroup with a translation-invariant metric . (An important and central ex…