Timeline for sufficient statistics and isometries
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Jan 17, 2014 at 3:27 | comment | added | Michael Hardy | I'm thinking of the manifold $N(\mu,\sigma^2)$. It's the upper half-plane, with metric something like $\displaystyle\sqrt{d\mu^2+\frac{d\sigma^2}{\sigma^2}}$? The minimal sufficient statistic for an i.i.d. sample $X_1,\ldots,X_n$ is just the pair $(X_1+\cdots+X_n,X_1^2+\cdots+X_n^2)$. How would this correspond to some isometry? | |
| Jan 17, 2014 at 3:22 | comment | added | Michael Hardy | I don't know an answer, but I wonder if you have a few concrete examples? | |
| Jan 16, 2014 at 18:36 | history | asked | Wintermute | CC BY-SA 3.0 |