On Berry-Esseen theorem for some functions of U-statistics |
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| Authors: | Barbara Bartmaska Dominik Szynal |
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| Affiliation: | Institute of Mathematics, Marie Curie-Skkodowska University, 20-031 Lublin, Poland |
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| Abstract: | The rate of convergence in the central limit theorem and in the random central limit theorem for some functions of U-statistics are established. The theorems refer to the asymptotic behaviour of the sequence {g(Un),n≥1}, where g belongs to the class of all differentiable functions g such that g′εL(δ) and Un is a U-statistics. |
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| Keywords: | Central and random central limit theorem U-statistics Lipschitz condition |
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