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Bootstrap approximation for generalized \(U\)-processes - MaRDI portal

Bootstrap approximation for generalized \(U\)-processes (Q1343411)

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scientific article; zbMATH DE number 713519
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Bootstrap approximation for generalized \(U\)-processes
scientific article; zbMATH DE number 713519

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    Bootstrap approximation for generalized \(U\)-processes (English)
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    19 January 1995
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    This paper adapts the proof of Theorem VII.21 from \textit{D. Pollard} [Convergence of stochastic processes (1984; Zbl 0544.60045)] to obtain sufficient conditions under which the generalized \(U\)-process and the bootstrapped generalized \(U\)-process converge in distribution to a Gaussian limit. The result for the bootstrapped empirical process is obtained as a special case.
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    \(U\)-process
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    bootstrapped generalized \(U\)-process
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    empirical process
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