The functional law of the iterated logarithm for von Mises functionals and multiple Wiener integrals (Q1120894)

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scientific article; zbMATH DE number 4102192
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The functional law of the iterated logarithm for von Mises functionals and multiple Wiener integrals
scientific article; zbMATH DE number 4102192

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    The functional law of the iterated logarithm for von Mises functionals and multiple Wiener integrals (English)
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    1989
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    The author proves a functional law of the iterated logarithm for m- variate von-Mises-functionals. As a corollary the corresponding statement for multiple stochastic integrals with respect to Kiefer processes is obtained using the almost sure invariance principle. Applications for U- statistics are given.
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    functional law of the iterated logarithm
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    multiple stochastic integrals
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    invariance principle
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