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   <dc:title>Decomposition of state-space Model with inputs: The theory and an application to estimate the ROI of advertising</dc:title>
   <dc:creator>Casals Carro, José</dc:creator>
   <dc:creator>Jerez Méndez, Miguel</dc:creator>
   <dc:creator>Sotoca López, Sonia</dc:creator>
   <dc:subject>C32</dc:subject>
   <dc:subject>C53</dc:subject>
   <dc:subject>State-space</dc:subject>
   <dc:subject>Signal extraction</dc:subject>
   <dc:subject>Time series decomposition</dc:subject>
   <dc:subject>Seasonal adjustment</dc:subject>
   <dc:subject>Advertising</dc:subject>
   <dc:subject>Lydia Pinkham</dc:subject>
   <dc:subject>Econometría (Economía)</dc:subject>
   <dc:subject>5302 Econometría</dc:subject>
   <dc:description>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.</dc:description>
   <dc:description>Fac. de Ciencias Económicas y Empresariales</dc:description>
   <dc:description>Instituto Complutense de Análisis Económico (ICAE)</dc:description>
   <dc:description>FALSE</dc:description>
   <dc:description>pub</dc:description>
   <dc:date>2023-06-20T16:39:35Z</dc:date>
   <dc:date>2023-06-20T16:39:35Z</dc:date>
   <dc:date>2006</dc:date>
   <dc:type>technical report</dc:type>
   <dc:identifier>https://hdl.handle.net/20.500.14352/56636</dc:identifier>
   <dc:identifier>XXXX-XXXX</dc:identifier>
   <dc:language>eng</dc:language>
   <dc:relation>Documentos de Trabajo del Instituto Complutense de Análisis Económico (ICAE)</dc:relation>
   <dc:rights>open access</dc:rights>
   <dc:format>application/pdf</dc:format>
   <dc:publisher>Instituto Complutense de Análisis Económico. Universidad Complutense de Madrid</dc:publisher>
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