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seen Mar 10 at 13:02

Apr
11
comment Conditions on r.v. $X$ s.t. $\Pr(X\ge n\mid X\ge n/2)$ gets small?
Thanks @KevinCostello that is very helpful. I see that all of the moments of $X$ are bounded in your example but can you say a little bit more about why the desired conclusion fails?
Apr
10
asked Conditions on r.v. $X$ s.t. $\Pr(X\ge n\mid X\ge n/2)$ gets small?
Apr
8
awarded  Scholar
Apr
8
accepted Proof that $E(X)<\infty$ entails $\lim_{n\to\infty}n\Pr(X\ge n) = 0$?
Apr
8
comment Proof that $E(X)<\infty$ entails $\lim_{n\to\infty}n\Pr(X\ge n) = 0$?
Thanks so much @Alex. Just to be clear: you meant to type $2^{k(n)}a_{2^{k(n)}}$ rather than $2^{k(n)}a_{k(n)}$ right?
Apr
8
awarded  Supporter
Apr
8
awarded  Student
Apr
8
asked Proof that $E(X)<\infty$ entails $\lim_{n\to\infty}n\Pr(X\ge n) = 0$?