Timeline for Ways of proving normal distribution (with a view towards Selberg's central limit theorem)
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Feb 13, 2022 at 2:57 | vote | accept | Anurag Sahay | ||
| Feb 9, 2022 at 21:55 | history | edited | Anurag Sahay | CC BY-SA 4.0 |
corrected typos and minor semantic changes
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| Feb 9, 2022 at 15:43 | comment | added | Anurag Sahay | @TerryTao: Thanks for the reference! I wasn't too hopeful something could be done in my specific setup, since I wasn't even able to compute the moments, but I figured it was worth a shot to ask a wide question like this. | |
| Feb 9, 2022 at 15:37 | comment | added | Anurag Sahay | @ThomasKojar: Thanks for the references! | |
| Feb 9, 2022 at 15:35 | answer | added | Algernon | timeline score: 3 | |
| Feb 9, 2022 at 4:09 | comment | added | Thomas Kojar | There is also a heat equation proof by Petrovsky and Kolmogorov: see link: escholarship.mcgill.ca/downloads/w3763840s and here mathoverflow.net/questions/280186/… and on the same spirit information theory: mathoverflow.net/questions/182752/… | |
| Feb 9, 2022 at 3:42 | answer | added | user44143 | timeline score: 5 | |
| Feb 9, 2022 at 2:01 | comment | added | Terry Tao | Other methods to prove central limit theorems include Fourier-analytic methods, Stein's method, and the Lindeberg exchange method: see my lecture notes at terrytao.wordpress.com/2010/01/05/… . However, in analytic number theoretic situations moments are pretty much the only thing we can compute with much accuracy, so we are still mostly stuck with moment methods for now. | |
| Feb 9, 2022 at 0:06 | history | asked | Anurag Sahay | CC BY-SA 4.0 |