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Estimating the \(p\)-variation index of a sample function: an application to financial data set - MaRDI portal

Estimating the \(p\)-variation index of a sample function: an application to financial data set (Q1610849)

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Estimating the \(p\)-variation index of a sample function: an application to financial data set
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    Estimating the \(p\)-variation index of a sample function: an application to financial data set (English)
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    20 August 2002
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    The authors study a roughness of sample functions of continuous time stochastic processes with special emphasize on processes which could be applied in financial models. They propose a method of estimating the \(p\)-variation index of a function based on the metric entropy index of its graph. A simulation study of the method is given and also an application to real financial data.
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    estimation
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    sample functions
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    \(p\)-variation
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    box-counting index
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    financial data
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