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Spectral based testing of the martingale hypothesis - MaRDI portal

Spectral based testing of the martingale hypothesis (Q1185208)

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scientific article; zbMATH DE number 37853
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English
Spectral based testing of the martingale hypothesis
scientific article; zbMATH DE number 37853

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    Spectral based testing of the martingale hypothesis (English)
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    28 June 1992
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    This paper proposes a method of testing whether a time series is a martingale. A general asymptotic theory is developed for the spectral distribution function of the first differences. Several tests are developed which determine whether the sample spectral distribution function is shaped as a straight line. Applications to stock prices are given.
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    martingale hypothesis
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    MA alternatives
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    power
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    subsets of frequencies
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    random walk theory
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    time series
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    asymptotic theory
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    spectral distribution function
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    stock prices
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