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Testing for the Cointegrating Rank of a VAR Process with Level Shift and Trend Break

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Author Info
Carsten Trenkler
Pentti Saikkonen
Helmut Lütkepohl

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Abstract

A test for the cointegrating rank of a vector autoregressive (VAR) process with a possible shift and broken linear trend is proposed. The break point is assumed to be known. Our test is not a likelihood ratio test but the deterministic terms including the broken trends are removed first by a generalized least squares procedure. Then, a likelihood ratio-type test is applied to the adjusted series. The asymptotic null distribution of the test is derived and it is shown by a Monte Carlo experiment that the test has better small-sample properties in many cases than a corresponding Gaussian likelihood ratio test for the cointegrating rank. Moreover, response surface techniques can be used to easily obtain p-values of the test for any possible break date. Copyright 2007 The Authors

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File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1467-9892.2007.00558.x
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Publisher Info
Article provided by Blackwell Publishing in its journal Journal of Time Series Analysis.

Volume (Year): 29 (2008)
Issue (Month): 2 (03)
Pages: 331-358
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Handle: RePEc:bla:jtsera:v:29:y:2008:i:2:p:331-358

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  1. Dirk Temme & Henning Kreis & Lutz Hildebrandt, 2006. "PLS Path Modeling – A Software Review," SFB 649 Discussion Papers SFB649DP2006-084, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  2. Matthias Paustian & Christian Stoltenberg, 2006. "Optimal Interest Rate Stabilization in a Basic Sticky-Price Model," SFB 649 Discussion Papers SFB649DP2006-072, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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  3. Jenny Kragl & Julia Schmid, 2006. "Relational Contracts and Inequity Aversion," SFB 649 Discussion Papers SFB649DP2006-085, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  4. Dirk Temme & Lutz Hildebrandt, 2006. "Formative Measurement Models in Covariance Structure Analysis: Specification and Identification," SFB 649 Discussion Papers SFB649DP2006-083, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  5. Enzo Giacomini & Wolfgang Härdle & Ekaterina Ignatieva & Vladimir Spokoiny, 2006. "Inhomogeneous Dependency Modelling with Time Varying Copulae," SFB 649 Discussion Papers SFB649DP2006-075, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  6. Ying Chen & Wolfgang Härdle & Vladimir Spokoiny, 2006. "GHICA - Risk Analysis with GH Distributions and Independent Components," SFB 649 Discussion Papers SFB649DP2006-078, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  7. Christian Stoltenberg, 2006. "Real Balance Effects, Timing and Equilibrium Determination," SFB 649 Discussion Papers SFB649DP2006-073, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  8. Zdenek Hlavka & Michal Pesta, 2006. "Constrained General Regression in Pseudo-Sobolev Spaces with Application to Option Pricing," SFB 649 Discussion Papers SFB649DP2006-069, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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  11. Deniz Dilan Karaman Örsal, 2008. "Comparison of Panel Cointegration Tests," Economics Bulletin, Economics Bulletin, vol. 3(6), pages 1-20. [Downloadable!]
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  12. Carsten Trenkler & Pentti Saikkonen & Helmut Lütkepohl, 2006. "Testing for the Cointegrating Rank of a VAR Process with Level Shift and Trend Break," SFB 649 Discussion Papers SFB649DP2006-067, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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