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Based on the current state of the article, it looks like Harris Chain and Markov chains on a measurable state space are synonyms, but I do not have the relevant mathematical knowledge. Is there any reason to have two different articles, or should those be merged? If not, could someone provide a description of how the two concepts differ? 7804j ( talk) 15:13, 4 December 2019 (UTC)
- A reply to this same question was given at
Talk:Markov chains on a measurable state space.
67.198.37.16 (
talk) 05:05, 22 October 2020 (UTC)
- My understanding is that a Harris chain is analogous to a recurrent Markov chain. Not all Markov chains on measurable state spaces are Harris chains. LachlanA ( talk) 06:44, 19 April 2023 (UTC)
It would be useful to expand the example on countable state spaces to show how a recurrent chain is Harris recurrent, and a non-recurrent chain is not. At the moment, it seems to say "if it satisfies the condition in the definition, it is Harris recurrent", which is true but not helpful. LachlanA ( talk) 06:46, 19 April 2023 (UTC)
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| This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||||||||||||
| |||||||||||||||||||||
Based on the current state of the article, it looks like Harris Chain and Markov chains on a measurable state space are synonyms, but I do not have the relevant mathematical knowledge. Is there any reason to have two different articles, or should those be merged? If not, could someone provide a description of how the two concepts differ? 7804j ( talk) 15:13, 4 December 2019 (UTC)
- A reply to this same question was given at
Talk:Markov chains on a measurable state space.
67.198.37.16 (
talk) 05:05, 22 October 2020 (UTC)
- My understanding is that a Harris chain is analogous to a recurrent Markov chain. Not all Markov chains on measurable state spaces are Harris chains. LachlanA ( talk) 06:44, 19 April 2023 (UTC)
It would be useful to expand the example on countable state spaces to show how a recurrent chain is Harris recurrent, and a non-recurrent chain is not. At the moment, it seems to say "if it satisfies the condition in the definition, it is Harris recurrent", which is true but not helpful. LachlanA ( talk) 06:46, 19 April 2023 (UTC)