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Codependent VAR models and the pseudo-structural form

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  • Carsten Trenkler
  • Enzo Weber

Abstract

This paper investigates whether codependence restrictions can be uniquely imposed on VAR models via the so-called pseudo-structural form used in the literature. Codependence of order q is given if a linear combination of autocorrelated variables eliminates the serial correlation after q lags. Importantly, maximum likelihood estimation and likelihood ratio testing are only possible if the codependence restrictions can be uniquely imposed. Applying the pseudo-structural form, our study reveals that this is not generally the case, but that unique imposition is guaranteed in several important special cases. Copyright Springer-Verlag Berlin Heidelberg 2013

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  • Carsten Trenkler & Enzo Weber, 2013. "Codependent VAR models and the pseudo-structural form," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 97(3), pages 287-295, July.
    • Handle: RePEc:spr:alstar:v:97:y:2013:i:3:p:287-295
    DOI: 10.1007/s10182-012-0204-7
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    1. Trenkler, Carsten & Weber, Enzo, 2010. "Testing for Codependence of Non-Stationary Variables," University of Regensburg Working Papers in Business, Economics and Management Information Systems 446, University of Regensburg, Department of Economics.
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    Cited by:

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    3. Marcel Gorenflo, 2013. "Futures price dynamics of CO 2 emission allowances," Empirical Economics, Springer, vol. 45(3), pages 1025-1047, December.

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    More about this item

    Keywords

    Codependence; VAR; Pseudo-structural form; Serial correlation common features;
    All these keywords.

    JEL classification:

    • 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

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