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Hoeffding-Serfling Inequality for U-Statistics Without Replacement

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F22%3A00358304" target="_blank" >RIV/68407700:21230/22:00358304 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/s10959-022-01169-x" target="_blank" >https://doi.org/10.1007/s10959-022-01169-x</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s10959-022-01169-x" target="_blank" >10.1007/s10959-022-01169-x</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Hoeffding-Serfling Inequality for U-Statistics Without Replacement

  • Original language description

    Concentration inequalities quantify random fluctuations of functions of random variables, typically by bounding the probability that such a function differs from its expected value by more than a certain amount. In this paper we study one particular concentration inequality, the Hoeffding-Serfling inequality for U-statistics of random variables sampled without replacement from a finite set and extend recent results of Bardenet and Maillard (Bernoulli 21(3):1361-1385, 2015) to cover the U-statistics setting.

  • Czech name

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2022

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů