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Some remarks on coupling of dependent random variables - MaRDI portal

Some remarks on coupling of dependent random variables (Q1871329)

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scientific article; zbMATH DE number 1906996
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English
Some remarks on coupling of dependent random variables
scientific article; zbMATH DE number 1906996

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    Some remarks on coupling of dependent random variables (English)
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    7 May 2003
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    The paper considers the coupling of a dependent random vector with an independent one, having the same marginals. The author provides an \(L_1\)-distance in terms of mixing coefficients. The coupling method is applied to prove a uniform law of large numbers for a sequence of weakly dependent random variables.
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    coupling
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    weakly dependent sequences
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    mixing
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    uniform law of large numbers
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