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Do the terms of an iid sequence whose law has infinite expected value necessarily exceed the...
Let $\mu$ be a probability measure on $(0,\infty)$, and let $(\mathbf X_n)_1^\infty$ be a sequence of independent $\mu$-distributed random variables. Fix $\kappa > 0$, and consider
A) $\int x \; d\mu …
1
vote
Signed variant of the Flint Hills series
You mentioned my argument from the other thread, which can be used to show that if $\mu(\pi) < 3$, then your series converges. But this also means you can't get any further information about $\mu(\pi) …