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Activity Number: 212
Type: Contributed
Date/Time: Monday, August 3, 2009 : 2:00 PM to 3:50 PM
Sponsor: Business and Economic Statistics Section
Abstract - #304963
Title: Dynamic Factors in Periodic Time-Varying Regression Models
Author(s): Marius Ooms*+ and Virginie Dordonnat and Siem Jan Koopman
Companies: Vrije Universiteit Amsterdam and Electricité de France and Vrije Universiteit Amsterdam
Address: De Boelelaan 1105, Amsterdam, 1081 HV, Netherlands
Keywords: unobserved components ; seasonality ; state space models ; load forecasting ; electricity demand
Abstract:

We consider dynamic multivariate periodic regression modeling for high- frequency data. The dependent univariate time series is transformed to a lower frequency multivariate time series for periodic regression modeling. For hourly series we specify one equation per hour of the day. The regression coefficients differ across equations and vary stochastically over time. As the unrestricted model contains many unknown parameters, we develop a methodology within the state-space framework to model dynamic factors in the coefficients, with common coefficient dynamics across equations. We first present a small-scale simulation, comparing results with a univariate benchmark model. Our dynamic factor component estimates are more precise. We apply our method to French national hourly electricity loads with weather variables and calendar variables as regressors and analyze components and forecasts.


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