Multi-step-ahead estimation of time series models

B-Tier
Journal: International Journal of Forecasting
Year: 2013
Volume: 29
Issue: 3
Pages: 378-394

Authors (2)

Score contribution per author:

1.005 = (α=2.01 / 2 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

We study the fitting of time series models via the minimization of a multi-step-ahead forecast error criterion that is based on the asymptotic average of squared forecast errors. Our objective function uses frequency domain concepts, but is formulated in the time domain, and allows the estimation of all linear processes (e.g., ARIMA and component ARIMA). By using an asymptotic form of the forecast mean squared error, we obtain a well-defined nonlinear function of the parameters that is proven to be minimized at the true parameter vector when the model is correctly specified. We derive the statistical properties of the parameter estimates, and study the asymptotic impact of model misspecification on multi-step-ahead forecasting. The method is illustrated through a forecasting exercise, applied to several time series.

Technical Details

RePEc Handle
repec:eee:intfor:v:29:y:2013:i:3:p:378-394
Journal Field
Econometrics
Author Count
2
Added to Database
2026-01-26