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On local fluctuations of stable moving average processes - MaRDI portal

On local fluctuations of stable moving average processes (Q1193402)

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scientific article; zbMATH DE number 64568
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English
On local fluctuations of stable moving average processes
scientific article; zbMATH DE number 64568

    Statements

    On local fluctuations of stable moving average processes (English)
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    27 September 1992
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    For a symmetric \(\alpha\)-stable \((1<\alpha<2)\) moving average process \(X(t)\) the local time analysis is applied to obtain the conditions on the kernel of the stochastic integral when almost every sample path of it is a Jarnik function with infinite \(\gamma\)-variation.
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    stable processes
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    moving average process
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    local time
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    Jarnik function
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    infinite \(\gamma\)-variation
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