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Python Pandas Statsmodels Prophet

Time Series Models

Time series analysis and forecasting with statistical models, exponential smoothing, and curve-fitting techniques.

Models

  • AR, MA, ARMA – autoregressive and moving average models.
  • ARIMA, SARIMA, SARIMAX – forecasting non-stationary and seasonal time series.
  • VAR – multivariate time series forecasting.
  • ARCH & GARCH – volatility modeling.
  • Classical Decomposition – trend, seasonality, and residual analysis.
  • Moving Average & Centered Moving Average (CMA) – trend estimation.
  • Holt-Winters – exponential smoothing for trend and seasonality.
  • Prophet – additive forecasting model with automatic trend and seasonality detection.

Techniques

  • Time series decomposition
  • Stationarity testing (ADF)
  • Residual diagnostics
  • ACF & PACF analysis
  • Model selection (AIC/BIC)
  • Forecast evaluation (RMSE, MAE, MAPE)
  • Rolling forecasting & backtesting