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On estimating the variance of a U-statistic
Authors:AJ Lee
Institution:University of Auckland , Auckland, New Zealand
Abstract:We compare jackknifing and bootstrapping as methods for estimating the variance of a U-statistic. The use of these estimates in calculating asymptotic confidence intervals is discussed, and the results of a numerical study involving Kendall's tau are reported. For the special case of this statistic, the bootstrap is the estimate of choice.
Keywords:Partial linear models  Kernel smoothing  Bandwidth selection  Mixing
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