Timeline for Which type of convergence for this sequence of random variables? [closed]
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 14, 2021 at 19:06 | history | closed |
user44191 Mark Wildon Jan-Christoph Schlage-Puchta zeb András Bátkai |
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| Jan 31, 2021 at 13:34 | review | Close votes | |||
| Feb 14, 2021 at 19:06 | |||||
| Jan 29, 2021 at 15:49 | comment | added | lrnv | Thanks a lot for the link, i always forgot these. This is my new favorite bookmark ;) | |
| Jan 29, 2021 at 15:48 | vote | accept | lrnv | ||
| Jan 29, 2021 at 15:47 | comment | added | Pierre PC | It is true that convergence in distribution to a constant implies convergence in probability, but IMO it is easier in this case to use that $L^2$ convergence implies convergence in probability. Carlo Beenakker's link is rather exhaustive, and as described by Will Sawin, non-negativity does not help. | |
| Jan 29, 2021 at 14:47 | comment | added | Carlo Beenakker | • convergence in distribution to a constant implies convergence in probability, it does not imply convergence almost surely, see en.wikipedia.org/wiki/… | |
| Jan 29, 2021 at 14:45 | answer | added | Will Sawin | timeline score: 5 | |
| Jan 29, 2021 at 14:29 | history | asked | lrnv | CC BY-SA 4.0 |