Timeline for Extreme points of a set of probability measures
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| S Jun 6 at 13:57 | history | suggested | Valentas | CC BY-SA 4.0 |
Replace dead link
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| Jun 6 at 11:50 | review | Suggested edits | |||
| S Jun 6 at 13:57 | |||||
| Jul 24, 2017 at 8:22 | comment | added | Jean Duchon | What the paper asserts in this case is $ex\mathcal P=\{F:F=(1-t)\delta_{x}+t\delta_y, t\in[0,1], (1-t)|x|^k+t|y|^k=c, x+y\neq0\}$. This includes singletons $\delta_x$ with $|x|^k=c$. | |
| Jul 23, 2017 at 20:28 | comment | added | Boby | I know this is an old post, but I hope I will get a response. I was checking the paper you suggested. I have a question about as set of distribution on a real with finite $k$-th finite moment that is $\mathcal{P}=\{ F: \int_{\mathbb{R}} |x|^k dF(x)=c \}$. Does this paper assert that the set of extreme poins is a convex combination of all two singletons, that is: $ ex \mathcal{P} = \{ F: F= (1-t) \delta_{x_1}+t \delta_{x_2}, t\in[0,1], x_1,x_2 \in \mathbb{R} \}$. Thanks for your help. | |
| Jan 12, 2012 at 23:05 | comment | added | Henrique de Oliveira | Great reference, thank you so much! | |
| Jan 12, 2012 at 23:04 | vote | accept | Henrique de Oliveira | ||
| Jan 12, 2012 at 22:37 | history | edited | Igor Rivin | CC BY-SA 3.0 |
fixed typ
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| Jan 12, 2012 at 22:01 | history | answered | Igor Rivin | CC BY-SA 3.0 |