Timeline for Bounding $\|X_1/(X_1+X_2) - Y_1/(Y_1+Y_2)\|_p$ by the closeness of $X$ and $Y$
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Oct 9, 2023 at 11:52 | history | edited | ArBo | CC BY-SA 4.0 |
Remove confusing comment
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| Oct 9, 2023 at 9:45 | vote | accept | ArBo | ||
| Oct 9, 2023 at 4:20 | answer | added | Iosif Pinelis | timeline score: 3 | |
| Oct 8, 2023 at 22:41 | comment | added | ArBo | I edited the question, I hope it's clearer now. Basically, you proved that a bound using $\|X-Y\|_p$ cannot exist, but I am wondering whether one exists with $\|X-Y\|_p^\alpha$. It seems that your counter-example can be adapted to show that such a bound does not exist for any $0<\alpha<1$, but I'm finding that difficult to square with my numerical experiments, which seem to show $\sim\|X-Y\|_p$ convergence of my quantity. | |
| Oct 8, 2023 at 22:39 | history | edited | ArBo | CC BY-SA 4.0 |
added 153 characters in body
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| Oct 8, 2023 at 21:14 | comment | added | Iosif Pinelis | I don't understand this question. Can you state clearly the inequality that you want to prove or disprove? | |
| Oct 8, 2023 at 17:57 | history | edited | ArBo | CC BY-SA 4.0 |
added 104 characters in body
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| Oct 8, 2023 at 17:48 | history | asked | ArBo | CC BY-SA 4.0 |