Timeline for Meyer's example of a separable process with no path regularity
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Dec 26, 2022 at 16:40 | vote | accept | tsnao | ||
| Dec 26, 2022 at 16:30 | comment | added | Iosif Pinelis | @tsnao : I would not say that "the two definitions do contradict each other" -- that would mean that either one of them excludes the other one. However, Doob's condition (say (D)) never excludes Meyer's conditions (say (M)), and (M) does not always exclude (D). Yet, it is true that (M) is less restrictive than (D). Actually, (M) is less restrictive in two ways: (i) in contrast with (M), (D) specifies the means of identification of the process as the graph closure and (ii) (D) identifies the process pathwise, whereas (M) is only concerned with probabilities. | |
| Dec 26, 2022 at 16:14 | comment | added | tsnao | Thank you for the answer! So the two definitions do contradict each other, the Meyer's one being less restrictive? | |
| Dec 26, 2022 at 16:09 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |