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Forecast combinations under structural break uncertainty
Authors:Jing Tian  Heather M. Anderson
Affiliation:1. University of Tasmania, Hobart, TAS, 7001, Australia;2. Monash University, Clayton, Victoria, 3800, Australia
Abstract:
This paper proposes two new weighting schemes that average forecasts based on different estimation windows in order to account for possible structural change. The first scheme weights the forecasts according to the values of reversed ordered CUSUM (ROC) test statistics, while the second weighting method simply assigns heavier weights to forecasts that use more recent information. Simulation results show that, when structural breaks are present, forecasts based on the first weighting scheme outperform those based on a procedure that simply uses ROC tests to choose and forecast from a single post-break estimation window. Combination forecasts based on our second weighting scheme outperform equally weighted combination forecasts. An empirical application based on a NAIRU Phillips curve model for the G7 countries illustrates these findings, and also shows that combination forecasts can outperform the random walk forecasting model.
Keywords:Bias&ndash  variance trade-offs   Choice of estimation windows   Inflation forecasts   Parameter shifts   Reversed order CUSUM tests   Weighted forecasts
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