In statistical theory, a U-statistic is a class of statistics defined as the average over the application of a given function applied to all tuples of...

corresponding Mann–Whitney U statistic is defined as the smaller of: U1=n1n2+n2(n2+1)2−R2,U2=n1n2+n1(n1+1)2−R1{\displaystyle U_{1}=n_{1}n_{2}+{\tfrac...

values is a statistic. The term statistic is used both for the function and for the value of the function on a given sample. When a statistic is being used...

In statistics, the Durbin–Watson statistic is a test statistic used to detect the presence of autocorrelation at lag 1 in the residuals (prediction errors)...

statistics, a statistic is sufficient with respect to a statistical model and its associated unknown parameter if "no other statistic that can be calculated...

to fU(k)(u)=n!(k−1)!(n−k)!uk−1(1−u)n−k{\displaystyle f_{U_{(k)}}(u)={n! \over (k-1)!(n-k)!}u^{k-1}(1-u)^{n-k}} that is, the kth order statistic of the...

are closely related to U-statistics (U for "unbiased") introduced by Wassily Hoeffding in 1948. A V-statistic is a statistical function (of a sample)...

distribution Type-2 Gumbel distribution Tyranny of averages u-chart U-quadratic distribution U-statistic U test Umbrella sampling Unbiased estimator – see bias...

tradeoff Lehmann–Scheffé theorem U-statistic Bayes estimator Minimum mean square error (MMSE) Lee, A. J., 1946- (1990). U-statistics : theory and practice...

procedure is known to have certain good properties and the result is a U-statistic. The sample mean and sample variance are of this form, for r = 1 and...