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Jun 17, 2019 at 5:39 comment added fedja Assuming independence (otherwise there is nothing to say), the trivial lower bound (which immediately follows from the log-concavity of the sequence $P(X\ge m), m\in \mathbb Z$) is $1-\alpha^{\frac k{k+1}}$. Do you want something tighter than that?
Jun 16, 2019 at 20:51 history edited Melika CC BY-SA 4.0
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Jun 16, 2019 at 4:24 history edited user64494 CC BY-SA 4.0
A typo in the title is corrected.
Jun 16, 2019 at 1:37 history edited Melika CC BY-SA 4.0
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Jun 16, 2019 at 1:31 history asked Melika CC BY-SA 4.0