Timeline for Distribution of the individual coordinates of a uniform random vector on a high-dimensional sphere
Current License: CC BY-SA 4.0
9 events
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| Nov 13, 2018 at 15:40 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Nov 13, 2018 at 14:54 | comment | added | dohmatob | Off-topic: I wonder if you would mind helping on this mathoverflow.net/questions/314409/… or this math.stackexchange.com/questions/2976654/…. Thanks in advance. | |
| Nov 13, 2018 at 14:42 | comment | added | Iosif Pinelis | No, the inequality $d_{Ko}(T_1,Z_1)\le d_{Ko}(T,Z_1)+\frac{0.24}n$ does not use the delta method results at all. Rather, it follows immediately from elementary formula (4.24) in the delta-method paper, since the cdf's of $T_1$ and $T$ are easy to express in terms of each other. | |
| Nov 13, 2018 at 14:36 | comment | added | dohmatob | Great. Would you mind throwing in 1 or two details hinting the "hidden" computation "$d_{Ko}(T1, T) \le 0.24/n$" ? I guess this follows from your delta-method, but a sentence saying what's going on (e.g "one can take the function $f=...$", etc.) might be really useful. | |
| Nov 13, 2018 at 14:29 | comment | added | Iosif Pinelis | Thanks. I have added refs. to the published versions of the papers. | |
| Nov 13, 2018 at 14:29 | vote | accept | dohmatob | ||
| Nov 13, 2018 at 14:28 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Nov 13, 2018 at 14:27 | comment | added | dohmatob | OK great. This is better than my imagined $n^{-1/2}$ rate. The references are even a bigger treasure. Thanks! | |
| Nov 13, 2018 at 14:19 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |