Timeline for Probability of a random variable greater than its expected value
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 5, 2021 at 14:09 | answer | added | coudy | timeline score: 1 | |
| May 5, 2021 at 10:10 | answer | added | Clement C. | timeline score: 0 | |
| Dec 2, 2020 at 19:00 | vote | accept | exteral | ||
| Apr 22, 2020 at 12:36 | answer | added | Iosif Pinelis | timeline score: 9 | |
| Apr 22, 2020 at 8:19 | comment | added | Brendan McKay | Just add 1 to $X$ to make it positive. You won't get a useful answer unless you specify the conditions more precisely, as kodlu wrote. | |
| Apr 22, 2020 at 7:35 | comment | added | kodlu | your statements are quite unclear "certain constraint"? | |
| Apr 22, 2020 at 4:50 | comment | added | exteral | I am looking for an existence of such inequality with certain constraint, instead of a general bound. If X is positive r.v., then your example does not hold. Thx. | |
| Apr 22, 2020 at 3:40 | comment | added | Brendan McKay | My examples are bounded and have all moments bounded. | |
| Apr 22, 2020 at 3:38 | history | edited | exteral | CC BY-SA 4.0 |
added 70 characters in body
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| Apr 22, 2020 at 3:33 | comment | added | exteral | Sure if without any constraint, do you know if with constraint, e.g. bounded X in [a,b], bounded moments in the previous related literature ? | |
| Apr 22, 2020 at 3:31 | comment | added | Brendan McKay | Put $1-2p$ at 0 and $p$ at $\pm 1$. Then $P(X\gt E[X])=p$ which can be as small as you like. The only value it can't have is 1. | |
| Apr 22, 2020 at 3:26 | review | First posts | |||
| Apr 22, 2020 at 4:36 | |||||
| Apr 22, 2020 at 3:17 | history | asked | exteral | CC BY-SA 4.0 |