Timeline for Distribution of the largest fragment of a broken stick (spacings)
Current License: CC BY-SA 3.0
20 events
| when toggle format | what | by | license | comment | |
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| Jan 25, 2020 at 22:02 | comment | added | gui11aume |
@Masacroso, the figure is made with standard R. Every feature is added manually. The background is created with rect, the white lines with abline, the legend with legend and the gradient with colorRampPalette. The style was chosen to match my blog. You can see the code to produce relatively similar figures at this post. Click on the Penrose triangle to display the code.
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| Jan 25, 2020 at 11:33 | comment | added | user154684 | sorry by this off-topic question but, can I know what program you used to plot the image of your answer? I dont recognize the style, probably matlab, or maybe some library of R? | |
| Feb 22, 2018 at 23:16 | comment | added | gui11aume | @AmirSagiv This is a very good post. For some reason, I misunderstood your question and thought you were interested in the asymptotic distribution of $Z_k^2$ (even though your comment was very clear), so my comment above is not so relevant. | |
| Feb 21, 2018 at 20:50 | comment | added | Amir Sagiv | $gui11aume Look here : mathoverflow.net/a/293381/42864 | |
| Feb 21, 2018 at 14:30 | comment | added | gui11aume | @AmirSagiv this is a good question. I had a quick look at the references and I could not find it. I could also not adapt the proof above. This made me realize that I don't know what the distribution of a square of a Gumbel is. Perhaps a good place to start? | |
| Feb 19, 2018 at 21:52 | comment | added | Amir Sagiv | Brilliant. By the way, is there a known asymptotics to $E(Z_k ^2)$? | |
| Sep 6, 2015 at 22:05 | history | edited | gui11aume | CC BY-SA 3.0 |
Corrected a minor mistake and clarified an undetermined formula.
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| Aug 26, 2015 at 22:13 | history | edited | gui11aume | CC BY-SA 3.0 |
added 29 characters in body
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| Jul 28, 2015 at 15:51 | vote | accept | gui11aume | ||
| Jul 28, 2015 at 10:28 | history | bounty ended | Glen_b | ||
| Jul 27, 2015 at 13:23 | history | edited | gui11aume | CC BY-SA 3.0 |
Added the part with harmonic numbers.
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| Jul 27, 2015 at 10:10 | history | edited | gui11aume | CC BY-SA 3.0 |
Corrected typos.
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| Jul 27, 2015 at 10:02 | history | edited | gui11aume | CC BY-SA 3.0 |
added 21 characters in body
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| Jul 27, 2015 at 9:31 | history | edited | gui11aume | CC BY-SA 3.0 |
Added links to the references.
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| Jul 27, 2015 at 8:02 | vote | accept | gui11aume | ||
| Jul 27, 2015 at 8:04 | |||||
| Jul 26, 2015 at 21:31 | history | edited | gui11aume | CC BY-SA 3.0 |
Added the graph.
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| Jul 26, 2015 at 20:02 | history | edited | gui11aume | CC BY-SA 3.0 |
Replaced by simpler proofs. Added proof of asymptotic distribution.
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| Jul 26, 2015 at 14:47 | history | edited | gui11aume | CC BY-SA 3.0 |
Added simplified proof.
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| Jul 25, 2015 at 17:21 | history | edited | gui11aume | CC BY-SA 3.0 |
Added the section about expectation
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| Jul 25, 2015 at 14:35 | history | answered | gui11aume | CC BY-SA 3.0 |