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.

翻译：在此,我们提出一个新的两样测试非参数框架,称为OVL-$q$=1, 2,\ldots$。 这可以被视为Smirnov测试的自然延伸,相当于OVL-1。 我们特别侧重于OVL-2, 实施其快速算法, 并在某些实验中显示其优于其他统计测试。