Timeline for Does rate of convergence in probability come from a metric?
Current License: CC BY-SA 3.0
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| Dec 30, 2017 at 2:05 | comment | added | erz | Regarding question 2 I's suggest (just from reading your question and not knowing much about this stuff) that the metrics you consider are somewhat arbitrary. You have a "natural" topology on the space of the random variables, but not a "natural" metric. Hence the appropriate definition of the rate of convergence has to be based on the way the topology is defined, not a specific metric. However, if the answer for the question 1 is "yes", then perhaps that metric should be viewed as natural? | |
| Dec 29, 2017 at 18:42 | history | edited | Froomfondel | CC BY-SA 3.0 |
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| Dec 29, 2017 at 18:41 | comment | added | Froomfondel | Thanks for pointing that out. I corrected that and added the link to the Wikipedia article for Definition 2. | |
| Dec 29, 2017 at 18:37 | history | edited | Froomfondel | CC BY-SA 3.0 |
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| Dec 29, 2017 at 15:47 | comment | added | user95282 | Definition 2 as written does not use $r_n$. If this is the "usual definition", is there a reference for it? | |
| Dec 28, 2017 at 22:51 | review | First posts | |||
| Dec 28, 2017 at 23:04 | |||||
| Dec 28, 2017 at 22:50 | history | asked | Froomfondel | CC BY-SA 3.0 |