Timeline for Large deviations for trigonometric polynomials
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 11, 2019 at 7:53 | comment | added | Kurisuto Asutora | No, this is not applicable here, since the trigonometric polynomial is not a sum of independent random variables. There is an analogue of Bernstein's inequality, but only if the sequence $(n_k)_k$ grows very quickly, e.g. exponentially. See for example Kac, M.: On the distribution of values of sums of the type $\sum f(2^k t).$ Ann. of Math. (2) 47 (1946), 33–49. | |
| Oct 11, 2019 at 7:43 | vote | accept | Kurisuto Asutora | ||
| Oct 11, 2019 at 2:42 | answer | added | Terry Tao | timeline score: 9 | |
| Oct 10, 2019 at 17:16 | comment | added | pseudocydonia | You should be able to do better using some version of the Azuma-Hoeffding inequality? Or Bernstein's inequality? | |
| Oct 10, 2019 at 14:41 | history | asked | Kurisuto Asutora | CC BY-SA 4.0 |