Rate of convergence in the central limit theorem and in the strong law of large numbers for von mises statistics |
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Authors: | P. Janssen |
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Affiliation: | (1) Limburgs Universitair Centrum, Universitaire Campus, B-3610 Diepenbeek |
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Abstract: | This paper provides the rate of convergence in the central limit theorem and in the strong law of large numbers forvon Mises statistics , based on i.i.d. random variablesX1,..., XN.The proofs rely on a decomposition ofvon Mises statistics into a linear combination ofU-statistics and then use (generalized) results on the convergence rates forU-statistics obtained byGrams/Serfling [1973] andCallaert/Janssen [1978]. |
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