FORECASTING

ARIMA Forecasting

Automatic ARIMA model selection using auto.arima with STL decomposition, multiple stationarity tests, and adaptive forecast limits.

What Makes This Effective

Automatic Model Selection

Uses auto.arima with adaptive constraints based on data size and frequency.

STL Decomposition

Seasonal-Trend decomposition using Loess for trend, seasonal, and remainder components.

Comprehensive Tests

ADF, KPSS, Phillips-Perron tests plus Ljung-Box for residual autocorrelation.

What You Need to Provide

Time series with value column

Provide a dataset with time_column and value_column. Specify frequency (hourly, daily, weekly, monthly, quarterly, yearly).

Automatically limits forecast periods based on data length and frequency to ensure reliability. Requires minimum observations based on frequency (e.g., 24 months for monthly data). Handles multiple date formats with intelligent parsing.

Time Series Schema / Index + Outcome

Quick Specs

Frequency6 options supported
Min DataVaries by frequency
Max ForecastAuto-limited to 50% history
StepwiseFor large datasets

How We Forecast

From stationarity to validated predictions

1

Test Stationarity

ADF, KPSS, and Phillips-Perron tests to assess need for differencing.

2

Auto-Select Model

auto.arima with adaptive max orders based on data size and seasonal detection.

3

Decompose & Forecast

STL decomposition, generate forecasts with confidence bands, Ljung-Box test.

Why This Analysis Matters

Intelligent ARIMA forecasting with automatic safeguards—prevents overfitting by limiting forecast horizons based on data characteristics.

The implementation uses auto.arima from the forecast package, automatically adjusts model complexity for large datasets (stepwise for n>500), limits forecast periods to maximum 50% of historical data, performs STL decomposition for seasonal patterns, and includes comprehensive diagnostics with ACF/PACF plots, residual analysis, and multiple stationarity tests.

Note: Forecast periods automatically capped based on frequency (e.g., max 365 days for daily, 60 months for monthly). Uses stepwise selection for efficiency with large datasets.

Ready to Forecast?

Generate calibrated predictions with diagnostics

Read the article: ARIMA Forecasting