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Classical versus VAR econometrics: the Janus head effect in economic dynamic modelling

Author

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  • Maria Grazia Zoia

    (Dipartimento di Discipline Matematiche, Finanza Matematica ed Econometria, Universita' Cattolica, Milano)

Abstract

The aim of this paper is that of giving a finer insight into the analytic foundations of vector autoregressive models (VAR) in comparison with classical econometric models. To this end we show the links between the techniques of structural and VAR model building on the one hand, and the econometric profiles of dynamic modelling on the other. The solutions engendered by both approaches, which share a common difference-equation ancestry, call for a matrix polynomial inversion by either Taylor or Laurent expansions. The former is true for classical econometrics, where unit roots are ruled out, whereas the latter comes to the fore in time-series econometrics, with unit roots and cointegration as an added value. The derivation of the intended result, as well as the econometric interpretation of the solutions, rest on a neat algebraic and statistical apparatus.

Suggested Citation

  • Maria Grazia Zoia, 2009. "Classical versus VAR econometrics: the Janus head effect in economic dynamic modelling," Rivista Internazionale di Scienze Sociali, Vita e Pensiero, Pubblicazioni dell'Universita' Cattolica del Sacro Cuore, vol. 117(1), pages 113-124.
    • Handle: RePEc:vep:journl:y:2009:v:117:i:1:p:113-124
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    More about this item

    Keywords

    Structural Model; Final Form; VAR Model; Representation Theorem;
    All these keywords.

    JEL classification:

    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C50 - Mathematical and Quantitative Methods - - Econometric Modeling - - - General

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