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Showing 2012 · math.PRShow all
2 papers · 2 filters
math.PR2012★ 3 cited
Rosenthal-type inequalities for martingales in 2-smooth Banach spaces
Iosif Pinelis
Certain previously known upper bounds on the moments of the norm of martingales in 2-smooth Banach spaces are improved. Some of these improvements hold even for sums of independent…
math.PR2012★ 1 cited
On the supremum of the tails of normalized sums of independent Rademacher random variables
Iosif Pinelis
A well-known longstanding conjecture on the supremum of the tails of normalized sums of independent Rademacher random variables is disproved. A related conjecture, also recently di…