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Another Numerical Method Of Finding Critical Values For The Andrews Stability Test

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  • Anatolyev, Stanislav
  • Kosenok, Grigory

Abstract

We propose a method, alternative to that of Estrella (2003, Econometric Theory 19, 1128–1143), of obtaining exact asymptotic p-values and critical values for the popular Andrews (1993, Econometrica 61, 821–856) test for structural stability. The method is based on inverting an integral equation that determines the intensity of crossing a boundary by the asymptotic process underlying the test statistic. Further integration of the crossing intensity yields a p-value. The proposed method can potentially be applied to other stability tests that employ the supremum functional.

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  • Anatolyev, Stanislav & Kosenok, Grigory, 2012. "Another Numerical Method Of Finding Critical Values For The Andrews Stability Test," Econometric Theory, Cambridge University Press, vol. 28(1), pages 239-246, February.
    • Handle: RePEc:cup:etheor:v:28:y:2012:i:01:p:239-246_00
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    Cited by:

    1. Castro, Carlos & Ferrari, Stijn, 2014. "Measuring and testing for the systemically important financial institutions," Journal of Empirical Finance, Elsevier, vol. 25(C), pages 1-14.
    2. Anatolyev Stanislav & Kosenok Grigory, 2018. "Sequential Testing with Uniformly Distributed Size," Journal of Time Series Econometrics, De Gruyter, vol. 10(2), pages 1-22, July.
    3. Christis Katsouris, 2023. "Predictability Tests Robust against Parameter Instability," Papers 2307.15151, arXiv.org.

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