J Austral Math Soc Ser A 50 pp468--480, 1991.

Rates of Strong Convergence for U-Statistics in Finite Populations

P. N. Kokic and N. C. Weber

(Received 1 October 1989; revised 4 February 1990)

Abstract

Let U_Nn 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 convergnece results in the strong law are obtained for U_Nn, which are similar to those known for classical U-statistics based on samples of independent and identically distributed (iid) random variables.

1980 AMS Subject Classification (1985 Revision): 60F15

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Authors

P. N. Kokic
N. C. Weber: Department of Mathematical Statistics, University of Sydney, N.S.W.

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Last Modified: Mon Feb 3 9:46:09 2003