Timeline for Looking for a family of random variables such that only the second clause is fulfilled [closed]
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Oct 20, 2020 at 9:35 | history | edited | Sofia | CC BY-SA 4.0 |
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| Jul 23, 2020 at 16:23 | history | closed |
LSpice Yemon Choi Alex M. Mark Wildon Eric Peterson |
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| Jul 10, 2020 at 19:34 | answer | added | Sofia | timeline score: 1 | |
| Jul 10, 2020 at 19:10 | comment | added | Sofia | Thank you @NateEldredge for the good example! | |
| Jul 10, 2020 at 18:58 | history | edited | Sofia | CC BY-SA 4.0 |
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| Jul 9, 2020 at 14:05 | comment | added | Nate Eldredge | I believe that if $\Omega$ is atomless, then (ii) implies (i). | |
| Jul 9, 2020 at 14:05 | comment | added | Nate Eldredge | Let $\Omega$ be a single point having probability 1. Then (ii) is trivially satisfied because for any $\delta < 1$, the only $A$ with $P(A) < \delta$ is $A=\emptyset$. So now you can choose any family which violates (i), e.g. $X_n = n$. | |
| Jul 9, 2020 at 12:35 | review | Close votes | |||
| Jul 23, 2020 at 16:23 | |||||
| Jul 9, 2020 at 12:21 | comment | added | LSpice | What are you taking the supremum of in (i)? Anyway, any example that satisfies (i) can easily be modified not to do so without breaking (ii). This is not research level. | |
| Jul 9, 2020 at 11:52 | review | First posts | |||
| Jul 9, 2020 at 12:33 | |||||
| Jul 9, 2020 at 11:47 | history | asked | Sofia | CC BY-SA 4.0 |