Timeline for Strong law of large numbers indexed by a directed set
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 12 at 18:20 | vote | accept | Arkadi Predtetchinski | ||
| Oct 12 at 17:40 | comment | added | Jochen Glueck | @ArkadiPredtetchinski: I'm not sure I understand your comment. Of course all those objects depend on $\omega$. You asked about pointwise almost everywhere convergence (= almost sure convergence), so one has to consider every $\omega$ seperately, check whether the net converges for this $\omega$, and then check whether the set of all those $\omega$ for which the net converges has measure $1$. But my answer shows that this set actually has measure $0$. | |
| Oct 12 at 17:16 | comment | added | Arkadi Predtetchinski | But the set of indices for which $\xi_i(\omega) = 1$ might depend on $\omega$. And so will our set $F$. Could you elaborate? Thanx. | |
| Oct 12 at 17:05 | history | edited | Jochen Glueck | CC BY-SA 4.0 |
added 316 characters in body
|
| Oct 12 at 16:54 | history | answered | Jochen Glueck | CC BY-SA 4.0 |