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Asymptotic behaviour of the sample autocovariance and autocorrelation function of the \(AR(1)\) process with \(\text{ARCH}(1)\) errors - MaRDI portal

Asymptotic behaviour of the sample autocovariance and autocorrelation function of the \(AR(1)\) process with \(\text{ARCH}(1)\) errors (Q1611570)

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scientific article; zbMATH DE number 1786699
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English
Asymptotic behaviour of the sample autocovariance and autocorrelation function of the \(AR(1)\) process with \(\text{ARCH}(1)\) errors
scientific article; zbMATH DE number 1786699

    Statements

    Asymptotic behaviour of the sample autocovariance and autocorrelation function of the \(AR(1)\) process with \(\text{ARCH}(1)\) errors (English)
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    5 November 2002
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    ARCH model
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    autoregressive process
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    extremal index
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    geometric ergodicity
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    heavy tails
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    multivariate regular variation
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    point processes
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    sample autocovariance function
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    strong mixing
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