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Model selection for panel data forecasting

Rt Greenaway-McGrevy

No 38620, Working Papers from Department of Economics, The University of Auckland

Abstract: This paper develops new model selection methods for forecasting panel data using a set of least squares (LS) vector autoregressions. Model selection is based on minimizing the estimated quadratic forecast risk among candidate models. We provide conditions under which the selec- tion criterion is asymptotically e¢ cient in the sense of Shibata (1980, Ann. Statist. 8, 147-164) as n (cross sections) and T (time series) approach in nity. Relative to extant selection criteria, this criterion places a heavier penalty on model dimensionality in order to account for the e¤ects of parameterized forms of cross sectional heterogeneity (such as xed e¤ects) on forecast loss. We also extend the analysis to bias-corrected least squares, showing that signi cant reductions in forecast risk can be achieved.

Date: 2017
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