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Jan 10, 2015 at 19:52 vote accept Daniel86
Jan 10, 2015 at 19:52 history edited Davide Giraudo CC BY-SA 3.0
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Jan 10, 2015 at 19:50 comment added Davide Giraudo The probability $P_2$ is equal to $0$ if $\alpha /2\geqslant \sum_{i=0}^{n-1} c_i$, so the bound is good for $\alpha$ large.
Jan 10, 2015 at 19:11 comment added Daniel86 Thank you very much, @Davide, but I may be missing something here. Say $c_{i} = (i+1)^{-2}$. How is upper-bounding $P_{2}$ an easier task than the original question (note that in my original post, the term is $i\sqrt{Y_{i}}$)?
Jan 10, 2015 at 12:55 history answered Davide Giraudo CC BY-SA 3.0