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Activity Number: 523
Type: Topic Contributed
Date/Time: Wednesday, August 7, 2013 : 10:30 AM to 12:20 PM
Sponsor: Business and Economic Statistics Section
Abstract - #309094
Title: Instant Trend-Seasonal Decomposition of Time Series with Splines
Author(s): Luis Francisco Rosales Marticorena*+
Companies: Goettingen University
Keywords: Penalized splines ; Mixed model ; Varying coecient ; Correlated remainder
Abstract:

We present a nonparametric method to decompose a times series into trend, seasonal and remainder components. This fully data-driven technique is based on penalized splines and makes an explicit characterization of the varying seasonality and the correlation in the remainder. The procedure takes advantage of the mixed model representation of penalized splines that allows for the simultaneous estimation of all model parameters from the corresponding likelihood. Simulation studies and three data examples illustrate the effectiveness of the approach.


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