Timeline for Mean -> Frechet mean, Standard deviation ->?
Current License: CC BY-SA 3.0
7 events
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| Jul 11, 2013 at 16:50 | comment | added | SBF | I see. Since mean (in whatever framework) is natural to define as a minimizer of a measure of spread of data/points/... it justifies the fact that the minimal such spread is called variance, as Kjetil wrote already. So the std.dev would indeed be natural to defined as a square root of the minimals sum of distances, however maybe you could say why are you interested in std.dev related to the Frechet mean? Perhaps, concentration theorem for random elements taking values in metric spaces? | |
| Jul 11, 2013 at 15:11 | comment | added | Franck van Breugel | Yes, I am interested in a natural generalization of standard deviation, in analogy to Frechet mean generalizing ordinary mean. A reference to the literature would be ideal. | |
| Jul 11, 2013 at 11:36 | comment | added | SBF |
By I also would like to find the corresponding standard deviation do you mean, that you are looking for a natural way of defining a std.dev. for the Frechet mean?
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| Jul 11, 2013 at 11:00 | history | edited | Willie Wong |
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| Jul 11, 2013 at 10:59 | answer | added | kjetil b halvorsen | timeline score: 4 | |
| Jul 11, 2013 at 10:46 | review | First posts | |||
| Jul 11, 2013 at 10:58 | |||||
| Jul 11, 2013 at 10:27 | history | asked | Franck van Breugel | CC BY-SA 3.0 |