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Comparing predictive accuracy in small samples using fixed‐smoothing asymptotics
Author(s) -
Coroneo Laura,
Iacone Fabrizio
Publication year - 2020
Publication title -
journal of applied econometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.878
H-Index - 99
eISSN - 1099-1255
pISSN - 0883-7252
DOI - 10.1002/jae.2756
Subject(s) - smoothing , survey of professional forecasters , spurious relationship , econometrics , sample (material) , test (biology) , statistics , computer science , mathematics , economics , monetary policy , keynesian economics , paleontology , chemistry , chromatography , biology
Summary We consider fixed‐smoothing asymptotics for the Diebold and Mariano ( Journal of Business and Economic Statistics , 1995, 13 (3), 253–263) test of predictive accuracy. We show that this approach delivers predictive accuracy tests that are correctly sized even when only a small number of out‐of‐sample observations is available. We apply the fixed‐smoothing asymptotics to the Diebold and Mariano test to evaluate the predictive accuracy of the Survey of Professional Forecasters (SPF) and of the European Central Bank Survey of Professional Forecasters (ECB SPF) against a simple random walk. Our results show that the predictive abilities of the SPF and of the ECB SPF were partially spurious.