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

2025/08/30 by Dietmar Ferger, Ferger, Dietmar
Computer Science · Mathematics · #62E15 #62E20 #62G10 #Bayesian Methods and Mixture Models #FOS: Mathematics #Statistical Distribution Estimation and Applications #Statistical Methods and Bayesian Inference #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.2509.00452

openalex publication_date 2025/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Exact and asymptotic goodness-of-fit tests based on the maximum and its location of the empirical process

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