Timeline for What intuitive explanation is there for the central limit theorem?
Current License: CC BY-SA 4.0
18 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 23, 2024 at 4:28 | comment | added | rubikscube09 | For anyone seeing this - this is also known as the Lindeberg swapping argument! | |
| May 16, 2020 at 23:41 | history | edited | jlewk | CC BY-SA 4.0 | typos |
| Mar 21, 2020 at 23:49 | comment | added | Eric Auld | Really great answer. I find this much more intuitive than characteristic function kung-fu. | |
| Apr 25, 2019 at 2:43 | history | edited | jlewk | CC BY-SA 4.0 | More to the point |
| Mar 22, 2019 at 3:10 | history | edited | jlewk | CC BY-SA 4.0 | typo |
| Mar 19, 2019 at 23:45 | history | edited | jlewk | CC BY-SA 4.0 | typo |
| S Mar 19, 2019 at 20:40 | history | edited | jlewk | CC BY-SA 4.0 | some MathJax editing, mostly \ldots and \cdots |
| S Mar 19, 2019 at 20:40 | history | suggested | CommunityBot | CC BY-SA 4.0 | some MathJax editing, mostly \ldots and \cdots |
| Mar 19, 2019 at 20:27 | review | Suggested edits | |||
| S Mar 19, 2019 at 20:40 | |||||
| Mar 19, 2019 at 19:50 | history | edited | jlewk | CC BY-SA 4.0 | Some typos/better looking fractions |
| Mar 19, 2019 at 16:53 | history | edited | jlewk | CC BY-SA 4.0 | typo |
| Mar 15, 2019 at 22:28 | history | edited | jlewk | CC BY-SA 4.0 | Add outline and fix formatting |
| Mar 15, 2019 at 19:57 | history | edited | jlewk | CC BY-SA 4.0 | Add relationship to the more typical statement of the CLT |
| Mar 14, 2019 at 18:23 | comment | added | whuber♦ | I see what you mean. What gives me pause is that your assertion concerns only expectations and not distributions, whereas the CLT draws conclusions about a limiting distribution. The equivalence between the two might not immediately be evident to many. Might I suggest, then, that you provide an explicit connection between your statement and the usual statements of the CLT in terms of limiting distributions? (+1 by the way: thank you for elaborating this argument.) | |
| Mar 14, 2019 at 16:09 | comment | added | jlewk | I am not sure why you would say this, @whuber. The above give an intuitive proof that $E[f((X_1+...+X_n)/\sqrt n)]$ converges to $E[f(Z)]$ where $Z\sim N(0,1)$ for a large class of functions $f$. This is the CLT. | |
| Mar 14, 2019 at 14:59 | comment | added | whuber♦ | You seem to be asserting a law of large numbers rather than the CLT. | |
| Mar 14, 2019 at 7:25 | review | Late answers | |||
| Mar 14, 2019 at 7:27 | |||||
| Mar 14, 2019 at 7:08 | history | answered | jlewk | CC BY-SA 4.0 |