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Jan 27, 2023 at 12:11 history edited Richard Hardy CC BY-SA 4.0
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Dec 12, 2022 at 16:12 comment added Anthony Ah that make sense. Thanks!
Dec 12, 2022 at 15:38 comment added Richard Hardy @Anthony, the thing is, you specify these for the whole set of variables, not for subsets. So case B is not covered.
Dec 12, 2022 at 15:29 comment added Anthony Thanks, that make sense. I was just curious about the option to specify the number of cointegrating relationships, which seems to be a feature of R packages as well (rdocumentation.org/packages/tsDyn/versions/11.0.2/topics/VECM). I'll just have to do a little more reading.
Dec 12, 2022 at 15:19 comment added Richard Hardy @Anthony, I do not use statsmodels, so I cannot tell exactly. I think this has to be handled manually. Basic cointegration routines typically assume that either all variables that are supplied are cointegrated or none are. Cases where some are cointegrated and some are not are more nuanced than that. Case B can be estimated as four separate univariate models (multiple linear regressions).
Dec 12, 2022 at 15:11 comment added Anthony Thank you for this comprehensive answer. Question re case (B): is this implemented in software by simply specifying the cointegration rank of a VECM (e.g. coint_rank in statsmodels, statsmodels.org/dev/generated/…) or does something more sophisticated have to be done?
Nov 10, 2017 at 18:06 history edited Richard Hardy CC BY-SA 3.0
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Jul 22, 2016 at 15:25 history edited Richard Hardy CC BY-SA 3.0
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May 1, 2015 at 18:38 history answered Richard Hardy CC BY-SA 3.0