Timeline for Does an infinite chain of a.s. eventual transitions between states necessarily implies a.s transitions along the whole chain?
Current License: CC BY-SA 3.0
6 events
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| Feb 22, 2016 at 19:37 | comment | added | Mark Fischler | That's true. I originally framed this in terms of Markov processes of finite depth, but since I had a feeling that the answer was going to be that the implication holds anyway, I wanted to make the original "givens" as weak as was practical, so as to make the implication as meaningful as was practical. | |
| Feb 22, 2016 at 19:34 | vote | accept | Mark Fischler | ||
| Feb 22, 2016 at 19:02 | answer | added | Robert Israel | timeline score: 0 | |
| Feb 22, 2016 at 18:39 | comment | added | Robert Israel | If "the transition probabilities from $s_i \to s_j$ at time $t$ are permitted to depend not only on the state at time $t−1$ but also on all previous states", this is not what I'd call a Markov process with the given set of states. Perhaps you can call it a Markov process on a different state space $\bigcup_n S^n$, where the new "state" incorporates the history of the process. | |
| Feb 22, 2016 at 17:31 | history | edited | Mark Fischler | CC BY-SA 3.0 |
I seem unable to spell the word "for"!
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| Feb 22, 2016 at 17:15 | history | asked | Mark Fischler | CC BY-SA 3.0 |