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Title:Efficient estimation of forecast uncertainty based on recent forecast errors PDF Logo
Authors:Knüppel, Malte
Issue Date:2009
Series/Report no.:Discussion Paper Series 1: Economic Studies 2009,28
Abstract:Multi-step-ahead forecasts of forecast uncertainty in practice are often based on the horizon-specific sample means of recent squared forecast errors, where the number of available past forecast errors decreases one-to-one with the forecast horizon. In this paper, the efficiency gains from the joint estimation of forecast uncertainty for all horizons in such samples are investigated. Considering optimal forecasts, the efficiency gains can be substantial if the sample is not too large. If forecast uncertainty is estimated by seemingly unrelated regressions, the covariance matrix of the squared forecast errors does not have to be estimated, but simply needs to have a certain structure. In Monte Carlo studies it is found that seemingly unrelated regressions mostly yield estimates which are more efficient than the sample means even if the forecasts are not optimal. Seemingly unrelated regressions are used to address questions concerning the inflation forecast uncertainty of the Bank of England.
Subjects:Multi-step-ahead forecasts
forecast error variance
GLS
SUR
JEL:C13
C32
C53
ISBN:978-3-86558-565-3
Appears in Collections:Discussion Paper Series 1: Economic Studies, Bundesbank

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