A novel statistical approach for two-sample testing based on the overlap coefficient

Atsushi Komaba; Hisashi Johno; Kazunori Nakamoto

A novel statistical approach for two-sample testing based on the overlap coefficient

Statistics Theory 2026-02-17 v2 Discrete Mathematics Mathematical Software Probability Methodology Statistics Theory

Authors: Atsushi Komaba , Hisashi Johno , Kazunori Nakamoto

Abstract

Here we propose a new nonparametric framework for two-sample testing, named as the OVL- $q$ ( $q = 1, 2, \ldots$ ). This can be regarded as a natural extension of the Smirnov test, which is equivalent to the OVL-1. We specifically focus on the OVL-2, implement its fast algorithm, and show its superiority over other statistical tests in some experiments.

Keywords

hypothesis testing

Cite

@article{arxiv.2206.03166,
  title  = {A novel statistical approach for two-sample testing based on the overlap coefficient},
  author = {Atsushi Komaba and Hisashi Johno and Kazunori Nakamoto},
  journal= {arXiv preprint arXiv:2206.03166},
  year   = {2026}
}

Comments

36 pages, 5 figures. Accepted for publication in Journal of Mathematical Sciences, the University of Tokyo

A novel statistical approach for two-sample testing based on the overlap coefficient

Abstract

Keywords

Cite

Comments

Related papers