Timeline for Does this metric have an official name? Lévy metric? Ky Fan metric?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Mar 20, 2022 at 20:22 | answer | added | Jacob Maibach | timeline score: 1 | |
| Aug 11, 2013 at 14:28 | comment | added | Jason Rute | @NoelVaillant, yes indeed. I always work with separable metric spaces, so I sometimes forget to mention that assumption. I added it. | |
| Aug 11, 2013 at 14:26 | history | edited | Jason Rute | CC BY-SA 3.0 |
added 16 characters in body
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| Aug 11, 2013 at 5:59 | comment | added | Noel Vaillant | I was wondering: the random variable $(X,Y)$ is measurable with respect to the product of the Borel $\sigma$-algebras ${\cal B}(S)\otimes{\cal B}(S)$. The map $d:S\times S\to\mathtt{R}^{+}$ being continuous is measurable with respect to the Borel $\sigma$-algebra ${\cal B}(S\times S)$. Don't you need to assume something like $S$ is separable to ensure that ${\cal B}(S\times S)={\cal B}(S)\otimes{\cal B}(S)$ so that $d(X,Y)$ is a measurable map and your expectation is well-defined? | |
| Aug 11, 2013 at 3:39 | history | edited | Ricardo Andrade |
removed deprecated tag 'analysis'; added top level tags
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| Aug 10, 2013 at 22:12 | history | edited | Michael Greinecker |
edited tags
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| Aug 10, 2013 at 22:12 | history | migrated | from math.stackexchange.com (revisions) | ||
| Aug 4, 2013 at 23:40 | history | asked | Jason Rute | CC BY-SA 3.0 |