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Decomposition of state-space Model with inputs: The theory and an application to estimate the ROI of advertising

Casals Carro, José and Jerez Méndez, Miguel and Sotoca López, Sonia (2006) Decomposition of state-space Model with inputs: The theory and an application to estimate the ROI of advertising. [ Documentos de Trabajo del Instituto Complutense de Análisis Económico (ICAE); nº 0602, 2006, ]


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This paper shows how to compute the in-sample effect of exogenous inputs on the endogenous variables in any linear model written in state-space form. Estimating this component may be, either interesting by itself, or a previous step before decomposing a time series into trend, cycle, seasonal and error components. The practical application and usefulness of this method is illustrated by estimating the effect of advertising on monthly sales of the Lydia Pinkham vegetable compound.

Item Type:Working Paper or Technical Report
Additional Information:

JEL classification: C320; C530

Uncontrolled Keywords:State-space, Signal extraction, Time series decomposition, Seasonal adjustment, Advertising, Lydia Pinkham
Subjects:Social sciences > Economics > Econometrics
Series Name:Documentos de Trabajo del Instituto Complutense de Análisis Económico (ICAE)
ID Code:7910

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Deposited On:20 May 2008
Last Modified:06 Feb 2014 07:56

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