Strong approximation of quantile processes by iterated Kiefer processes. (Q1872145)

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scientific article; zbMATH DE number 1905940
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Strong approximation of quantile processes by iterated Kiefer processes.
scientific article; zbMATH DE number 1905940

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    Strong approximation of quantile processes by iterated Kiefer processes. (English)
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    6 May 2003
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    empirical processes
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    quantile processes
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    order statistics
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    law of the iterated logarithm
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    almost sure convergence
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    strong laws
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    strong invariance principles
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    strong approximation
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    Kiefer processes
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    Wiener process
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    iterated Wiener process
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    iterated Gaussian processes
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    Bahadur-Kiefer-type theorems
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