Issue 275: Prototype VARIMA (Analysis - do not merge) #291
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## main #291 +/- ##
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This draft PR explores the VARIMA baseline model as per #275 and commits an analysis of different VARIMA structures across a few chosen dates with a few chosen ARIMA models aimed at covid and flu NHSN.
This is committed as an analysis here.
Whilst this is not an exhaustive analysis, it shows that the "best" model, as in what time series joint modelling configs have the best out-of-sample CRPS, varies over time and pathogen. This suggests that for multi-signal approaches we probably want to go towards some kind of ensemble over structures to have more consistent forecast performance.
From the pov of a baseline against pyrenew; SARIMA still seems reasonable because it was never the worst time series model.
Linking @seabbs because he was interested in VARIMA.