Timeline for Order of independent random variables
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| May 2, 2017 at 18:24 | comment | added | Henry.L | @SeanEberhard Is there more background you can provide for this specific question? | |
| May 1, 2017 at 15:06 | comment | added | Anthony Quas | I see. For what it's worth, I just used mathematica to prove that there is an open set of attainable probability vectors. | |
| May 1, 2017 at 14:51 | comment | added | Sean Eberhard | @AnthonyQuas I do know that not all points are attainable, because I have convinced myself that the three orders $123$, $231$, and $312$ can't each have positive probability without other orders also having positive probability. No doubt this is just the qualitative tip of the quantitative iceberg, but I was hoping somebody would instantly recall the answer from somewhere. | |
| May 1, 2017 at 14:17 | comment | added | Anthony Quas | Do you already know anything about the structure of the set of attainable point of the 5-dimensional simplex, $\{p\colon \exists \text{independent} X_1,X_2,X_3 \text{s.t.} p_\pi=\mathbb P(X_{\pi(1)}<X_{\pi(2)}<X_{\pi(3)})\}$? | |
| May 1, 2017 at 13:14 | answer | added | Henry.L | timeline score: 1 | |
| May 1, 2017 at 13:11 | history | edited | Henry.L |
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| May 1, 2017 at 12:47 | history | asked | Sean Eberhard | CC BY-SA 3.0 |