Casals Carro, José and Jerez Méndez, Miguel and Sotoca, Sonia (2006) Decomposition of state-space Model with inputs: The theory and an application to estimate the ROI of advertising. [Working Paper or Technical Report]
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Abstract
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: | UCM. Instituto Complutense de Análisis Económico. Documentos de trabajo |
| Volume: | 2006 |
| Number: | 0602 |
| ID Code: | 7910 |
| Deposited On: | 20 May 2008 |
| Last Modified: | 26 Aug 2010 11:21 |
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