Timeline for Measurability of Markov kernel wrt the Borel $\sigma$-algebra generated by the weak topology
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 29, 2023 at 1:05 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Mar 31, 2023 at 0:04 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Nov 30, 2022 at 23:08 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Aug 2, 2022 at 23:03 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Apr 4, 2022 at 23:11 | comment | added | Julian Newman | To be precise: if $B$ is any separable metric space, then the Borel $\sigma$-algebra of the topology of weak convergence on $\mathcal{P}_B$ is precisely the $\sigma$-algebra generated by the set of evaluation mappings $\{\mu \mapsto \mu(A) : A \in \Sigma_B\}$. [Any proof where the result is stated for "Polish spaces" should work for more general separable metric spaces - i.e. being completely metrisable shouldn't play a role.] | |
| Apr 4, 2022 at 22:07 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Mar 5, 2022 at 21:10 | answer | added | Steve | timeline score: 3 | |
| Jan 19, 2022 at 18:20 | comment | added | ECL | Thanks! I'll have a look! | |
| Jan 19, 2022 at 18:16 | comment | added | Michael Greinecker | The answer is yes. I don't have them at hand, but you can find a proof in the discrete time optimal control book by Bertsekas and Shreve, or (an appendix of) the Bayesian nonparametrics book by Ghosal and van der Vaart. | |
| Jan 19, 2022 at 16:59 | history | edited | ECL | CC BY-SA 4.0 |
added 1645 characters in body
|
| S Jan 19, 2022 at 15:40 | review | First questions | |||
| Jan 19, 2022 at 15:52 | |||||
| S Jan 19, 2022 at 15:40 | history | asked | ECL | CC BY-SA 4.0 |