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Rates of strong convergence for U-statistics in finite populations

Part of: Limit theorems

Published online by Cambridge University Press:  09 April 2009

P. N. Kokic  and
N. C. Weber
P. N. Kokic
Affiliation:
Department of Mathematical Statistics University of SydneyN.S.W. 2006, Australia
N. C. Weber
Affiliation:
Department of Mathematical Statistics University of SydneyN.S.W. 2006, Australia
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Abstract

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Let UNn be a U-statistic based on a simple random sample of size n selected without replacement from a finite population of size N. Rates of convergence results in the strong law are obtained for UNn, which are similar to those known for classical U-statistics based on samples of independent and identically distributed (iid) random variables.

Keywords

rates of convergencestrong convergenceU-statisticsdegenerate U-statisticsfinite populations

MSC classification

Secondary: 60F15: Strong theorems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 50 , Issue 3 , June 1991 , pp. 468 - 480
Copyright
Copyright © Australian Mathematical Society 1991

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