Time-Series Prediction Techniques

This section discusses statistics related to time-series prediction, or forecasting, techniques available in Predictor:

Related terms:

  • Time series—The original data, expressed as Yt

  • Fit array—A retrofit of the time series, consisting of one-period-ahead forecasts performed from the data of previous periods; expressed as Ft

  • Residual array—A set of positive or negative residuals, expressed as rt, and defined as rt = Yt – Ft

  • RMSE—Root mean square error for forecasting, calculated as described in RMSE, where n is the number of periods for which a fit is available. RMSE depends on the specific forecasting method and technique.

  • Forecasts—Value projections calculated using the formula for the specific method; they are 1 to k periods ahead, where k is the number of forecasts required; also known as predictions.

  • Standard error of forecasts—Used to calculate prediction intervals; see Prediction Intervals