On Model Selection Based on Validation with Applications to Pressure and Temperature Prognosis

SUMMARY Model selection by cross-validation is applied to multivariate autoregressive models for weather data. This is done in a new manner such that the main effects of the model selection are included in the cross-validation measure. Models selected from different lists of explanatory variables are compared by the method. Examples of competitive short-time forecasts are given for pressure 6-24 hr ahead and temperature 6 hr ahead.