Timeline for Is the mean of samples still a valid sample?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| May 6, 2020 at 18:17 | comment | added | kdbanman | Ah, that’s what I get for not reading further! @gunes thanks for the additional case. In a way, it’s interesting that the limiting cases are at the extrema of of dispersion: minimal dispersion for constant RV (i.e. delta distribution) and maximal dispersion for Cauchy. | |
| May 6, 2020 at 6:15 | comment | added | gunes | @kdbanman correct, it's also referred in other answer by javierozcoiti. Another trivial exception is constant RV. | |
| May 6, 2020 at 1:19 | comment | added | kdbanman | If I recall, the exceptional case here is the Cauchy distribution. i.e. if $x_i$ are sampled from a Cauchy distribution, then $\bar x$ is distributed as the same Cauchy distribution. | |
| Apr 30, 2020 at 13:04 | vote | accept | Euler_Salter | ||
| Apr 30, 2020 at 10:50 | comment | added | gunes | It is a sample from $p$ only when $n=1$ btw. | |
| Apr 30, 2020 at 10:49 | history | edited | gunes | CC BY-SA 4.0 |
added 9 characters in body
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| Apr 30, 2020 at 10:48 | comment | added | Euler_Salter | Good point! That's such a simple thing to check | |
| Apr 30, 2020 at 10:48 | history | answered | gunes | CC BY-SA 4.0 |