{"ID":2876466,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2509.00452","arxiv_id":"2509.00452","title":"On a transform of the Vincze-statistic and its exact and asymptotic distribution","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.","short_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.","url_abs":"https://arxiv.org/abs/2509.00452","url_pdf":"https://arxiv.org/pdf/2509.00452v1","authors":"[\"Dietmar Ferger\"]","published":"2025-08-30T10:46:28Z","proceeding":"math.ST","tasks":"[\"math.ST\"]","methods":"[]","has_code":false}