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On a transform of the Vincze-statistic and its exact and asymptotic distribution
Published: August 30, 2025 |
arXiv ID: 2509.00452v1
By: Dietmar Ferger
Potential Business Impact:
Finds if two groups of things are different.
Business Areas:
A/B Testing
Data and Analytics
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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Country of Origin
🇩🇪
Germany
Page Count
11 pages
Category
Mathematics:
Statistics Theory