Timeline for Mathematical expectation of minimum of k random variables with fixed sum n
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 23, 2017 at 19:49 | comment | added | user44143 | There are also closed-form formulas for k=3,4,5. For k=3 it is (3/2)/sqrt(pi). For k=4 you can find it at talkstats.com/showthread.php/…. For k=5 it's similar to k=4 and I think given explicitly in David & Nagaraja's book on order statistics. But already for k=4 the formula is messy and not suggestive of any generalizations. | |
| Jan 23, 2017 at 16:32 | comment | added | Kostya_I | I doubt that; this question and the references therein seems relevant: mathoverflow.net/q/63490/56624 | |
| Jan 23, 2017 at 16:19 | comment | added | Wolfgang | Are there closed forms for $c_k$, $k\ge3$? | |
| Jan 23, 2017 at 15:45 | history | edited | Kostya_I | CC BY-SA 3.0 |
deleted 13 characters in body
|
| Jan 23, 2017 at 12:59 | vote | accept | Ilya | ||
| Jan 23, 2017 at 12:44 | history | answered | Kostya_I | CC BY-SA 3.0 |