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The Effects of Ignoring Level Shifts on Systems Cointegration Tests

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  • Carsten Trenkler*

Abstract

In this paper I analyse the effects of ignoring level shifts in the data generating process (DGP) on systems cointegration tests that do not accommodate level shifts. I consider two groups of Likelihood Ratio tests based on procedures suggested by Johansen (1988, 1995) and Saikkonen & Lütkepohl (2000b). The Monte Carlo analysis reveals that ignoring level shifts reduces the tests' sizes to zero and causes an important drop in the small sample power for increasing shift magnitudes. These observations are also reflected in two empirical applications in such a way that the tests find a cointegrating rank smaller than one suggested by procedures which accommodate the shifts.
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Suggested Citation

  • Carsten Trenkler*, 2005. "The Effects of Ignoring Level Shifts on Systems Cointegration Tests," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 89(3), pages 281-301, August.
    • Handle: RePEc:spr:alstar:v:89:y:2005:i:3:p:281-301
    DOI: 10.1007/s10182-005-0205-x
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    Cited by:

    1. Migiakis, Petros M. & Bekiris, Fivos V., 2009. "Regime switches between dividend and bond yields," International Review of Financial Analysis, Elsevier, vol. 18(4), pages 198-204, September.
    2. Razvan Pascalau & Junsoo Lee & Saban Nazlioglu & Yan (Olivia) Lu, 2022. "Johansen‐type cointegration tests with a Fourier function," Journal of Time Series Analysis, Wiley Blackwell, vol. 43(5), pages 828-852, September.
    3. Lena Malesevic-Perovic, 2009. "Cointegration Approach to Analysing Inflation in Croatia," Financial Theory and Practice, Institute of Public Finance, vol. 33(2), pages 201-218.

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    Keywords

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    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
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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