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Bayesian Approach to Inflation Persistance
Here are two articles on using Bayesian updates to predict the persistence of inflation that @jstac and I think might be a good application on Bayesian updates: https://www.federalreserve.gov/econres/notes/feds-notes/anchored-or-not-a-short-summary-of-a-bayesian-approach-to-the-persistence-of-inflation-20220408.html
It just had another update very recently: https://www.federalreserve.gov/econres/notes/feds-notes/a-bayesian-update-on-inflation-and-inflation-persistence-20230707.html