Timeline for Where can I find analogues of combinatorial central limit theorems for other groups
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 7, 2011 at 9:04 | comment | added | John Jiang | The condition is given in Bolthausen's an estimate of the remainder of combinatorial CLT. It roughly translates to the following: if $f(\sigma)$ is centered, then we need $\sqrt{n} \E [f(\sigma)^3] / (\rm{var} f(\sigma))^{3/2}$ to go to zero, much like in the case of Berry-Esseen's theorem. | |
| Mar 7, 2011 at 7:46 | comment | added | Douglas Zare | What are the conditions on the $a_{ij}$? | |
| Mar 7, 2011 at 7:06 | history | edited | John Jiang | CC BY-SA 2.5 |
deleted 1 characters in body
|
| Mar 7, 2011 at 3:59 | comment | added | John Jiang | I should mention that the conjecture in its most general form of group actions was first mentioned to me by Persi Diaconis. At the time I thought it had been well-studied. | |
| Mar 7, 2011 at 3:56 | comment | added | Michael Lugo | I don't know (in fact, I hadn't heard of this theorem until right now!), but I agree with your judgement that such theorems should exist. | |
| Mar 7, 2011 at 3:18 | history | asked | John Jiang | CC BY-SA 2.5 |