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On U-statistics and von Mises statistics for a special class of Markov chains
Authors:Marius Iosifescu
Affiliation:

Centre of Mathematical Statistics, Bd. Magheru 22, RO-70158 Bucharest, Romania

Abstract:We derive the Berry-Esséen theorem with optimal convergence rate for U-statistics and von Mises statistics associated with a special class of Markov chains occuring in the theory of dependence with complete connections.
Keywords:U-statistic   von Mises statistic   Markov chain   Berry-Esséen theorem
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