ARIMA, SARIMAX & VAR: When Classical Time-Series Still Win
Explicitly model temporal dependence with transparent structure. Classical time-series models remain essential for forecasting individual series and multivariate dynamics.
1. Why TS Models Are Still Relevant
- Explicitly model temporal dependence.
- Natural for forecasting individual series (e.g. rates, FX pairs).
- Transparent structure: lags and seasonality are explicit.
2. ARIMA & SARIMAX
ARIMA combines:
- AR (autoregressive): uses past values
- MA (moving average): uses past errors
- I (integration): differencing to achieve stationarity
SARIMAX adds:
- Seasonality: periodic patterns (S)
- Exogenous variables (X): macro indicators, external factors
Good for returns, not volatility (we keep GARCH separate).
3. VAR (Vector Autoregression)
Multivariate extension: model joint dynamics of several series.
Use cases:
- Basket of related FX pairs
- Equity factor portfolio
- Yield curve points
4. When to Prefer These vs ML
- Small data, strong temporal structure, limited features.
- Regulatory environments that want explicit parametric models.
- Interpretability requirements: coefficients have clear meaning.
In volarixs, Time Series is one of the model classes you can select in an experiment, so a classical forecaster sits in the same workflow as the boosted and neural models — fit on the same time windows and scored side by side, rather than living in a separate toolchain.