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Talk:Kolmogorov equations (continuous-time Markov chains)

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This is an old revision of this page, as edited by Thatsme314 (talk | contribs) at 06:44, 3 April 2022 (Thatsme314 moved page Talk:Kolmogorov equations (Markov jump process) to Talk:Kolmogorov equations (continuous-time Markov chain): The article describes only continuous-time Markov chains. Since there *are* Markov jump processes that are not continuous-time Markov chains (e.g. interacting particle system on an infinite site space)). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.
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What is ?

what the heck is $A_{ij}$? Two pathetic articles- both this one and the one not containing any equation, — Preceding unsigned comment added by 83.26.215.99 (talk) 16:25, 26 May 2014 (UTC)[reply]

is the transition rate matrix or generator matrix --kupirijo (talk) 06:06, 3 January 2020 (UTC)[reply]

Please define the notation

In its present state this page is pretty much useless, because it doesn't define any of its terms. It introduces P(x,s;y,t) without explaining the semicolon (is this an element of a joint distribution or a conditional one?), then states the equations in terms of $P_{ij}(s,t)$, which isn't defined either - is it the same? The matrix A is not explained either. If someone who is familiar with the subject could simply edit in brief explanations of the symbols it would make the page a lot more useful. — Preceding unsigned comment added by 157.82.34.155 (talk) 09:42, 10 July 2014 (UTC)[reply]

From what I understand the semicolon notation is a conditional probability distribution notation, i.e. is equivalent to --kupirijo (talk) 18:03, 4 January 2020 (UTC)[reply]
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