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Maximilian Janisch's user avatar
Maximilian Janisch's user avatar
Maximilian Janisch's user avatar
Maximilian Janisch
  • Member for 6 years, 2 months
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The lion and the zebras
Here is a game in a similar setting (but probably with very different underlying ideas): en.wikipedia.org/wiki/Angel_problem
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How to prove $e^x\left|\int_x^{x+1}\sin(e^t) \,\mathrm d t\right|\le 1.4$?
Thanks to @ACL and @ VladimirDotsenko for noting that the trick is erroneous (now removed)
revised
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Statistical moments of $\frac X{X + Y}$ when $X$ and $Y$ are two independent random variables with a Beta distribution
Hi @Kerighan I agree that this doesn't (fully) answer your question, but I think I'll leave my answer here as it might be useful to other users... As for approximating moments: I suppose that you could approximate them using numerical integration for fixed $\alpha,\beta,\gamma,\delta$. I don't have a good idea if you want an answer for every $\alpha,\beta,\gamma,\delta$
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