Timeline for Why do probabilists take random variables to be Borel (and not Lebesgue) measurable?
Current License: CC BY-SA 2.5
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 3 at 17:10 | answer | added | Michael Hardy | timeline score: 1 | |
| Jul 24, 2021 at 7:43 | comment | added | BCLC | Related? Why do we consider Borel sets instead of measurable sets? | |
| Jul 14, 2019 at 16:43 | answer | added | Rick Taylor | timeline score: 9 | |
| Feb 19, 2017 at 16:15 | comment | added | Hemanta K. Baruah | I would like to add a comment. 'The notion of probability does not enter into the definition of a random variable.' (Ref.: Page 43, V. K. Rohatgi and A. K. Md. E. Saleh, An Introduction to Probability and Statistics, Wiley Series in Probability and Statistics, John Wiley & Sons (Asia) Pte. Ltd. Singapore, 2001.) Indeed, measure theoretically, anything probabilistic is necessarily random, but not everything random are probabilistic. | |
| Nov 14, 2015 at 1:47 | answer | added | Michael Hardy | timeline score: 8 | |
| Jul 17, 2010 at 4:50 | answer | added | Yuval Peres | timeline score: 67 | |
| Jul 13, 2010 at 15:58 | answer | added | Dmitri Pavlov | timeline score: 11 | |
| Jul 12, 2010 at 21:41 | comment | added | Mark | Completion of a measure is always applicable, and this is the way I think of Lebesgue measure on R^n. | |
| Jul 12, 2010 at 21:20 | vote | accept | Mark | ||
| Jul 12, 2010 at 20:26 | answer | added | Benoît Kloeckner | timeline score: 10 | |
| Jul 12, 2010 at 20:02 | answer | added | Nate Eldredge | timeline score: 193 | |
| Jul 12, 2010 at 19:45 | comment | added | babubba | +1 for the question. I've always wondered why the opposite never happened! I've always wanted the composition of two measurable functions between two measure spaces to be measurable (and that was before I knew what a category was...). This does NOT hold with the definition I'd been given when studying measure theory as an undergrad. And I'm still unsure what you gain from completeness of the measure (but I seriously do not understand anything in analysis...). | |
| Jul 12, 2010 at 19:44 | answer | added | Michael Greinecker | timeline score: 24 | |
| Jul 12, 2010 at 19:21 | history | asked | Mark | CC BY-SA 2.5 |