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OnL p-convergence ofU-statistics

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Abstract

For a kernel belonging toL p-space,p>1, the rate of convergence of Hoeffding's [5]U-statistic to its expectation is studied; this includes as a special case a similar result on the sample mean previously studied by Chung [3]. Also, anL p-convergence result of Pyke and Root [8] on the sample partial sum is extended toU-statistics.

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Authors
  1. Pranab Kumar Sen
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Additional information

Work supported by the Army Research Office, Durham, Grant DA-ARO-D-31-124-70-G6.

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Sen, P.K. OnL p-convergence ofU-statistics. Ann Inst Stat Math 26, 55–60 (1974). https://doi.org/10.1007/BF02479803

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  • DOI: https://doi.org/10.1007/BF02479803

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