Timeline for A probabilistic angle inequality
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
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| May 7, 2018 at 15:33 | vote | accept | Arnold Neumaier | ||
| Apr 30, 2018 at 16:53 | comment | added | Arnold Neumaier | ''One may try to improve the bounds on cc, but I believe that would be quite outside the usual scope for MathOverflow answers.'' - I want to use the bounds in a proper publication; so some version of the answer itself may deserve publication. | |
| Apr 30, 2018 at 15:30 | comment | added | Iosif Pinelis | I have also added a lower bound on $c$. | |
| Apr 30, 2018 at 15:29 | history | edited | Iosif Pinelis | CC BY-SA 3.0 |
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| Apr 24, 2018 at 19:34 | history | edited | Iosif Pinelis | CC BY-SA 3.0 |
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| Apr 24, 2018 at 13:23 | history | edited | Iosif Pinelis | CC BY-SA 3.0 |
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| Apr 24, 2018 at 13:07 | comment | added | Iosif Pinelis | I have now also provided an explicit expression for $c$ in terms of $\varepsilon$. | |
| Apr 24, 2018 at 13:06 | history | edited | Iosif Pinelis | CC BY-SA 3.0 |
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| Apr 24, 2018 at 8:43 | comment | added | Arnold Neumaier | Can you extract from the proof how $c$ depends on $\varepsilon$? | |
| Apr 24, 2018 at 3:33 | history | edited | Iosif Pinelis | CC BY-SA 3.0 |
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| Apr 24, 2018 at 3:26 | comment | added | Iosif Pinelis | This answer is based on ideas different from the ones used in my previous answer. Here I co-opted the idea to use the Berry--Esseen inequality, suggested by Ron P. However, for the answer to be complete (as it now is), we needed to consider separately the cases depending on whether $\max_i|q_i|$ is relatively large or not. The result thus obtained is actually stronger than the one requested by the OP. | |
| Apr 24, 2018 at 3:18 | history | answered | Iosif Pinelis | CC BY-SA 3.0 |