Timeline for If the sum of two independent random variables is discrete uniform on $\{a, \dots,a + n\}$, what do we know about $X$ and $Y$?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Nov 14, 2019 at 20:37 | comment | added | Mark Wildon | I see: I had not noticed your second answer below when I wrote my comment. Up to you of course, but I see no reason to delete your first answer. | |
| Nov 14, 2019 at 20:04 | comment | added | Mateusz Kwaśnicki | @MarkWildon: Actually, this is a much, much older result, as explained in the other answer, which I made CW, because it is essentially due to Lutz Mattner (in another thread). The above "answer" was just a preliminary comment, if you feel it is no longer relevant, I will be happy to delete it. | |
| Nov 14, 2019 at 18:59 | comment | added | Mark Wildon | The answer to your final question is 'yes', by Lemma 2.1(ii) in the Behrends' paper that Iosif Pinellis linked to above: ems-ph.org/journals/…. Therefore $X$ and $Y$ are uniformly distributed on their supports, as required. The Behrends' paper goes on to classify the possible support sets in Corollary 3.4. | |
| Nov 12, 2019 at 20:40 | history | answered | Mateusz Kwaśnicki | CC BY-SA 4.0 |