On a transform of the Vincze-statistic and its exact and asymptotic distribution

Dietmar Ferger

公開日: 2025/8/30

Abstract

We motivate a new nonparametric test for the one-sided two-sample problem, which is based on a transform T of the Vincze-statistic (R,D). The exact and asymptotic distribution of T is derived. The fundamental idea can also be applied to the two-sided problem. Here too, a limit theorem can be proved.

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