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Euro area inflation density forecasts

Quantile regression forest. Direct forecasts of NSA year-on-year HICP and HICPex. TreeSHAP bars are deviations from the forest baseline E[f].

Out-of-sample density forecasts

Pending predictive quantiles

Forecasts whose outcome is not yet observed. Latest vintage is highlighted.

Contribution to the forecast

Stacked contributions to the forecast minus E[f]. One bar per target month.

Nonlinear inflation scenario simulator

Set future path assumptions. A separate conditional QRF—trained on historically realised future paths—translates them into a density shift while the forecasting QRF remains the baseline. Brackets show the latest observation used by the model.

Checking scenario API…

Baseline and scenario predictive densities will appear here.

Updated feature contributions

TreeSHAP contributions to the forest mean; lags of each series are summed.

ECB policy indicator

Forward-looking Taylor rule i* = r* + π + 0.5(π − π*) + 0.5 y with π* = 2%. QRF rows map the full predictive distribution through the same rule. Output gap is the latest AMECO euro-area estimate.

0.50%

TreeSHAP groups over the OOS window

Dated by target month. Origins from 2019 onward, as in the paper’s attribution exercise.