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New Improved Tests for Cointegration with Structural Breaks

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Abstract

This paper proposes Lagrange multiplier based tests for the null hypothesis of no cointegration. The tests are general enough to allow for heteroskedastic and serially correlated errors, deterministic trends, and a structural break of unknown timing in both the intercept and slope. The limiting distributions of the test statistics are derived, and are found to be invariant not only with respect to trend and structural break, but also with respect to the regressors. A small Monte Carlo study is also con- ducted to investigate the small-sample properties of the tests. The results reveal that the tests have small size distortions and good power relative to other tests.

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  • Westerlund, Joakim & Edgerton , David, 2006. "New Improved Tests for Cointegration with Structural Breaks," Working Papers 2006:3, Lund University, Department of Economics.
  • Handle: RePEc:hhs:lunewp:2006_003
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    1. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know About Unit Roots," NBER Chapters,in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220 National Bureau of Economic Research, Inc.
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    Keywords

    Cointegration Test; Lagrange Multiplier Principle; Structural Break; Deterministic Trend.;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: 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
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models

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