Timeline for Conditional distribution/independence
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 27, 2019 at 17:36 | comment | added | Iosif Pinelis | You don't need regular versions for a monotone class argument here, because taking limits of (monotone) sequences of sets preserves the almost-sure property of the conditional probabilities. | |
| Aug 27, 2019 at 15:01 | comment | added | Nicolas Bourbaki | I have one more question. Why is it sufficient to restrict ourselves to rectangle sets $A\times B$ in this case? If a regular version does not exist, how can a monotone class argument be used to extend to arbitrary sets in the product $\sigma-$field? | |
| Aug 27, 2019 at 13:43 | comment | added | Nicolas Bourbaki | Thank you Losif! | |
| Aug 27, 2019 at 13:25 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |