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Testing the Global Stability of a Linear Model

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  • Philippe Barbe

    (Crest)

  • Patrice Bertail

    (Crest)

Abstract

We propose a test for assessing the stability of a temporaleconometric linear model. The test is based on subsampling ideas moreprecisely to the consistency of the least square estimator whose behavior isstudied on subintervals over time. Our test allows to detect breakpoints onthe boundaries under reasonable assumptions. Under the null hypothesis,we derive the asymptotic distribution of some simple criteria compatiblewith the linearity of the model and study them by simulations. Wealso present a diagnostic plot which helps in determining the nature ofthe nonlinearities (outliers, structural changes, polynomial links) of theunderlying model.

Suggested Citation

  • Philippe Barbe & Patrice Bertail, 2004. "Testing the Global Stability of a Linear Model," Working Papers 2004-46, Center for Research in Economics and Statistics.
  • Handle: RePEc:crs:wpaper:2004-46
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    Cited by:

    1. Patrice Bertail & Emmanuelle Gautherat & Hugo Harari-Kermadec, 2005. "Empirical Phi-Discrepancies and Quasi-Empirical Likelihood: Exponential Bounds," Working Papers 2005-34, Center for Research in Economics and Statistics.

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