OnL p-convergence ofU-statistics

Name: OnL p-convergence ofU-statistics
Creator: Sen, Pranab Kumar
Keywords: Asymptotic distribution theory in statistics, Order statistics; empirical distribution functions, 0101 mathematics, 01 natural sciences

Sen, Pranab Kumar

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Annals of the Institute of Statistical Mathematics

Article . 1974 . Peer-reviewed

License: Springer TDM

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Article . 1974

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https://dx.doi.org/10.1007/bf0...

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OnL p-convergence ofU-statistics

On \(L^p\)-convergence of \(U\)-statistics

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1974 English Publisher:Springer Science and Business Media LLCJournal:Annals of the Institute of Statistical Mathematics, volume 26, pages 55-60 (issn: 0020-3157, eissn: 1572-9052,

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Authors: Sen, Pranab Kumar;

doi: 10.1007/bf02479803

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.

Keywords

Asymptotic distribution theory in statistics, Order statistics; empirical distribution functions

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