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Racines unitaires en macroéconomie : le cas d’une variable

  • Perron, Pierre

    (Département de Sciences Économiques, Université de Montréal)

This study presents an introduction to various concepts and issues related to autoregressive unit roots in the analysis of univariate time series models. The following topics are discussed: representation of the stochastic processes, testing procedures, issues related to the power of the tests, interpretation of the results and the practical usefulness of taking into account the problems caused by these unit roots. The study highlights the following points. First, unit root tests are highly dependent upon the specification of the deterministic component of the series. Secondly, tests for unit roots do not have much usefulness as a means of uncovering some kind of underlying "true process" but should be viewed rather as a device to 1) impose some useful restrictions, and ii) provide a guide to the appropriate asymptotic distribution to be used in subsequent steps. La présente étude fournit une introduction à certaines questions et concepts reliés aux racines unitaires autorégressives dans l’analyse statistique de modèles de séries chronologiques à une variable. On y aborde les sujets suivants : représentation des processus stochastiques, procédures de tests, questions reliées à leur puissance, interprétation des résultats et utilité pratique de prendre en compte des problèmes causés par la présence de racines unitaires. L’étude fait ressortir d’une part l’importance de la spécification de la partie déterministe de la série, et d’autre part l’utilité des tests de racines unitaires non pas en tant que moyens de découvrir le « vrai » processus sous-jacent mais en tant que moyens pratiques pour (i) imposer certaines restrictions utiles et (ii) permettre un guide quant à la classe appropriée de distributions asymptotiques à utiliser.

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Article provided by Société Canadienne de Science Economique in its journal L'Actualité économique.

Volume (Year): 68 (1992)
Issue (Month): 1 (mars et juin)
Pages: 325-356

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Handle: RePEc:ris:actuec:v:68:y:1992:i:1:p:325-356
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  28. Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-20, July.
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