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Nov 4, 2010 at 7:02 comment added Ori Gurel-Gurevich Thanks, but I didn't understand: does this mean that they have a mistake? or could the argument be carried our with $\log d$ instead?
Nov 4, 2010 at 0:08 comment added jat L&T prove a Rosenthal-type moment bound for sums of independent random variables in a Banach space (Thm. 6.20). The final step in the proof involves integration of $\exp(-u\log(u/K))$, which leads to Poisson-type growth of the constant.
Oct 25, 2010 at 1:51 comment added Ori Gurel-Gurevich No problem. Just curios: how was this used in Ledoux & Talagrand?
Oct 24, 2010 at 19:15 comment added jat @Ori. Thanks; that might explain why I couldn't establish the bound. (It is true without the $\log \log d$ factor, but I expected the Poisson decay to give a little bit extra.)
Oct 24, 2010 at 19:12 vote accept jat
Oct 23, 2010 at 4:55 history answered Ori Gurel-Gurevich CC BY-SA 2.5