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Testing for Structural Breaks at Unknown Time: A Steeplechase

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  • Makram El-Shagi
  • Sebastian Giesen

Abstract

This paper analyzes the role of common data problems when identifying structural breaks in small samples. Most notably, we survey small sample properties of the most commonly applied endogenous break tests developed by Brown et al. (J R Stat Soc B 37:149–163, 1975 ) and Zeileis (Stat Pap 45(1):123–131, 2004 ), Nyblom (J Am Stat Assoc 84(405):223–230, 1989 ) and Hansen (J Policy Model 14(4):517–533, 1992 ), and Andrews et al. (J Econ 70(1):9–38, 1996 ). Power and size properties are derived using Monte Carlo simulations. We find that the Nyblom test is on par with the commonly used F type tests in a small sample in terms of power. While the Nyblom test’s power decreases if the structural break occurs close to the margin of the sample, it proves far more robust to nonnormal distributions of the error term that are found to matter strongly in small samples although being irrelevant asymptotically for all tests that are analyzed in this paper. Copyright Springer Science+Business Media, LLC. 2013

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  • Makram El-Shagi & Sebastian Giesen, 2013. "Testing for Structural Breaks at Unknown Time: A Steeplechase," Computational Economics, Springer;Society for Computational Economics, vol. 41(1), pages 101-123, January.
  • Handle: RePEc:kap:compec:v:41:y:2013:i:1:p:101-123
    DOI: 10.1007/s10614-011-9271-1
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    2. El-Shagi, Makram & Tochkov, Kiril, 2022. "Divisia monetary aggregates for Russia: Money demand, GDP nowcasting and the price puzzle," Economic Systems, Elsevier, vol. 46(4).
    3. El-Shagi, Makram, 2019. "Rationality tests in the presence of instabilities in finite samples," Economic Modelling, Elsevier, vol. 79(C), pages 242-246.
    4. Karfakis, Costas, 2013. "Credit and business cycles in Greece: Is there any relationship?," Economic Modelling, Elsevier, vol. 32(C), pages 23-29.
    5. Holtemöller Oliver, 2013. "Explosive Preisentwicklung und spekulative Blasen auf Rohstoffmärkten / Explosive behavior and speculative bubbles on commodity markets," ORDO. Jahrbuch für die Ordnung von Wirtschaft und Gesellschaft, De Gruyter, vol. 64(1), pages 405-420, January.
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    More about this item

    Keywords

    Structural breaks; Small sample Monte Carlo study; Size adjusted power; C12; C15;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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