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I am writing a thesis now, and I ran into a problem - I understand the basic concepts of time series econometrics and what models and tests exist, what exactly they check, but I can not find good structured information on how to choose a model for multinomial regression. I'm looking for something like a practical guide / cheat sheet on this issue (better even without a special theory), just something with pure logic, what tests and why I do in various models (VAR/VECM/GARCH/ARIMA/HAR-RV/etc).

A very simplified example: For example, I tested with the ADF test that the regression is stationary/non-stationary. If stationary - I use VAR. If not stationary, then I check for cointegration using the Engle Granger procedure/ML estimator of Johansen. If there is no cointegration, then I take the first difference and then use VAR. If there is cointegration, I use VECM.

I really need your recommendations.

Sycorax
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    More than one hundred additional relevant threads can be found using a search: https://stats.stackexchange.com/search?q=%5Btime-series%5D+%5Breferences%5D+answers%3A1 – Sycorax May 03 '23 at 18:24

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