3:01 PM
This is funny. There is discussion about tag on meta, where it is suggested that usage of this tag is unclear and it should be removed. And this discussion is tagged with the meta tag . The usage of this tag on meta seems rather unclear to me, too.

6 hours later…
9:02 PM
Seeing some of the questions in this tag makes me wonder whether it would be reasonable to create also a tag for Chebyshev's inequality. (But this is not relevant for the discussion about (chebyshev-function) tag.) — Martin Sleziak Feb 10 at 9:55
The tag has been created.
2

I was looking at the following definition of Chebyshev's inequality $$P(|X - E(X)| \geq r) \leq \frac{Var(X)}{r^2}$$ which includes the expected value and variance of $X$, and then I discovered there's another equivalent Chebyshev's inequality, which involves the standard deviation $\sigma$ ...

0

Is there a lower bound inequality for $P(X<\mu-\sigma)$, where $P$, $\mu$ and $\sigma$ might be arbitrary but finite. For example by the Cantelli's inequality we have an upper bound $P(X<\mu-\sigma)\le0.5$. Is there also a nontrivial lower bound inequality?