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High level excursions of Gaussian fields and the weakly optimal choice of the smoothing parameter. I - MaRDI portal

High level excursions of Gaussian fields and the weakly optimal choice of the smoothing parameter. I (Q1909015)

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scientific article; zbMATH DE number 853170
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High level excursions of Gaussian fields and the weakly optimal choice of the smoothing parameter. I
scientific article; zbMATH DE number 853170

    Statements

    High level excursions of Gaussian fields and the weakly optimal choice of the smoothing parameter. I (English)
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    4 July 1996
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    random error
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    strong invariance principle
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    rate of convergence
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    optimal nonparametric estimation
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    maximal deviation distribution
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    kernel estimates
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    smoothing parameter
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    bias
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    Gaussian field
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    limit theorems
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    sequence of approximating functions
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