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The convergence of $U$-statistics and von Mises functionals in the mean metric

Author(s): Sh. Sharakhmetov
Translated by: Oleg Klesov
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, vipusk 68 (2003).
Journal: Theor. Probability and Math. Statist. No. 68 (2004), 167-172.
MSC (2000): Primary 60F05
Posted: May 11, 2004
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Abstract: We prove global limit theorems for $U$-statistics and von Mises functionals. The rate of convergence in these theorems is also obtained.

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Additional Information:

Sh. Sharakhmetov
Affiliation: Tashkent University for Economics, Uzbekistanskii prospekt 49, Tashkent 700063, Uzbekistan

DOI: 10.1090/S0094-9000-04-00589-7
PII: S 0094-9000(04)00589-7
Received by editor(s): 1/SEP/1999
Posted: May 11, 2004
Copyright of article: Copyright 2004, American Mathematical Society

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