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    Decoupling inequalities for the tail probabilities of multivariate u-statistics

    De la Peña, Víctor
    Montgomery-Smith, Stephen, 1963-
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    [PDF] DecouplingInequalities.pdf (102.7Kb)
    Date
    2011
    Format
    Preprint
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    Abstract
    In this paper we present a decoupling inequality that shows that multivariate U-statistics can be studied as sums of (conditionally) independent random variables. This result has important implications in several areas of probability and statistics including the study random graphs and multiple stochastic integration.
    URI
    http://hdl.handle.net/10355/9759
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