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Testing for change in mean of heteroskedastic time series

Author

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  • Mohamed Boutahar

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper we consider a Lagrange Multiplier-type test (LM) to detect change in the mean of time series with heteroskedasticity of unknown form. We derive the limiting distribution under the null, and prove the consistency of the test against the alternative of either an abrupt or smooth changes in the mean. We perform also some Monte Carlo simulations to analyze the size distortion and the power of the proposed test. We conclude that for moderate sample size, the test has a good performance. We finally carry out an empirical application using the daily closing level of the S\&P 500 stock index, in order to illustrate the usefulness of the proposed test.

Suggested Citation

  • Mohamed Boutahar, 2010. "Testing for change in mean of heteroskedastic time series," Working Papers hal-00570062, HAL.
    • Handle: RePEc:hal:wpaper:hal-00570062
    Note: View the original document on HAL open archive server: https://hal.science/hal-00570062
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