The paper applies a new, nonparametric, interpoint distance-based measure to confirm the inherent groups prevailing in the brightest source of light in the universe: gamma-ray bursts. Our effective metric, in association with clustering methods like Gaussian-mixture model-based and $K$-means algorithms, resolves the conflict regarding the possibility about existence of more than binary clusters in the gamma-ray burst population. Here we carry out multiple nonparametric statistical tests of hypotheses, as many as the number of bursts available from the `BATSE' catalog. An integrated $p$-value achieved from the aforesaid dependent tests solves our concern confirming two groups of short and long bursts.

翻译：本文采用一种基于点间距离的新型非参数度量，以确认宇宙中最亮光源——伽马射线暴中固有的群组结构。该有效度量结合了高斯混合模型与$K$-均值算法等聚类方法，解决了关于伽马射线暴群体中是否存在超过二元聚类的争议。本研究实施了与BATSE目录中可用暴发数量相等的多元非参数假设检验，通过上述依赖检验获得的综合$p$值解答了我们的疑问，证实了短暴与长暴两个群组的存在。