Timeline for Expected second moment for random points on a circle
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 21, 2011 at 6:46 | vote | accept | Greg Martin | ||
| Jan 19, 2011 at 21:08 | answer | added | Mike Spivey | timeline score: 5 | |
| Jan 19, 2011 at 12:19 | comment | added | Shai Covo | And so, the expectation of the maximum distance is $\frac{{H_n }}{n}$, where $H_n$ is the $n$th harmonic number: $H_n = \ln n + \gamma + \frac{1}{{2n}} + O(n^{ - 2} )$. | |
| Jan 19, 2011 at 12:05 | comment | added | Shai Covo | In particular, the expectation of the $k$th largest distance is $\frac{1}{n}(\frac{1}{n} + \cdots + \frac{1}{k})$. | |
| Jan 19, 2011 at 11:23 | answer | added | James Martin | timeline score: 12 | |
| Jan 19, 2011 at 11:01 | answer | added | ansobol | timeline score: 0 | |
| Jan 19, 2011 at 11:00 | comment | added | Shai Covo | For even more general results, see the first two answers at math.stackexchange.com/questions/13959/… | |
| Jan 19, 2011 at 9:31 | history | edited | Greg Martin | CC BY-SA 2.5 |
deleted 6 characters in body; deleted 112 characters in body
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| Jan 19, 2011 at 9:24 | history | asked | Greg Martin | CC BY-SA 2.5 |