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Oct 8, 2012 at 16:04 history closed Yemon Choi
Qiaochu Yuan
Andrés E. Caicedo
Will Jagy
Bill Johnson
not a real question
Oct 8, 2012 at 12:41 answer added Arturo Erdely timeline score: 3
Oct 8, 2012 at 3:52 comment added Yemon Choi I still think, though, that the question should have included at least some examples of the kinds of distribution that the OP had in mind
Oct 8, 2012 at 3:51 comment added Yemon Choi Downvote rescinded in view of Anthony Quas's comments and answer
Oct 8, 2012 at 3:22 answer added Anthony Quas timeline score: 7
Oct 8, 2012 at 3:07 comment added Anthony Quas C-S is sharp if all that you know are the second moments. Here we've got far more information: the entire distribution of the random variables.
Oct 8, 2012 at 3:04 comment added Anthony Quas Why the down-votes? I don't think that C-S is sharp for this situation. If you assume that they are non-negative valued, the sharp upper bound is obtained when the variables are monotonically coupled. I'll post a formula for this in a few minutes.
Oct 8, 2012 at 1:42 comment added Yemon Choi Well if it gives you a poor bound for your problem, you need to specify more details. The Cauchy-Schwarz inequality is sharp
Oct 8, 2012 at 1:01 history edited James CC BY-SA 3.0
added 135 characters in body
Oct 8, 2012 at 0:22 comment added Yemon Choi Cauchy-Schwarz?
Oct 8, 2012 at 0:19 history asked James CC BY-SA 3.0