On a transform of the Vincze-statistic and its exact and asymptotic distribution
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911131732279296 |
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| author | Ferger, Dietmar |
| author_facet | Ferger, Dietmar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00452 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a transform of the Vincze-statistic and its exact and asymptotic distribution Ferger, Dietmar Statistics Theory 62E15, 62E20, 62G10 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. |
| title | On a transform of the Vincze-statistic and its exact and asymptotic distribution |
| topic | Statistics Theory 62E15, 62E20, 62G10 |
| url | https://arxiv.org/abs/2509.00452 |