On a transform of the Vincze-statistic and its exact and asymptotic distribution
Statistics Theory
2025-09-03 v1 Statistics Theory
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.
Keywords
Cite
@article{arxiv.2509.00452,
title = {On a transform of the Vincze-statistic and its exact and asymptotic distribution},
author = {Dietmar Ferger},
journal= {arXiv preprint arXiv:2509.00452},
year = {2025}
}
Comments
11 pages, 1figure