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Mar 10, 2018 at 19:19 comment added Kurisuto Asutora Very interesting. Thank you very much!
Mar 10, 2018 at 19:12 comment added Nate Eldredge @KurisutoAsutora: There does not. See edit.
Mar 10, 2018 at 19:12 history edited Nate Eldredge CC BY-SA 3.0
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Mar 10, 2018 at 18:42 comment added Kurisuto Asutora Thank you! Do you think there also exist a counterexample if one has the additional assumption that the $X_n$ are uniformly bounded?
Mar 9, 2018 at 23:03 history edited Nate Eldredge CC BY-SA 3.0
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Mar 9, 2018 at 22:41 history answered Nate Eldredge CC BY-SA 3.0