High Quality Content by WIKIPEDIA articles! In statistical theory, a U-statistic is a specific type of estimator defined in a particular way. One use of the concept in statistical theory is that it allows a minimum-variance unbiased estimator to be derived from essentially any unbiased estimator, in contexts where no assumption is made about the form of the distribution and where estimation is for a function (such as the mean or variance) of the unknown distribution. Of even more importance is that the theory related to U-statistics allows a single theoretical framework to be used in non-parametric statistics to prove results for a wide range of test-statistics and estimators relating to the asymptotic normality and to the variance (in finite samples) of such quantities. In addition the theory has applications to estimators which are not themselves U-statistics.

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