Confirmation of Binary Clustering in Gamma-Ray Bursts through an Integrated $p$-value from Multiple Nonparametric Tests of Hypotheses
High Energy Astrophysical Phenomena
2026-05-07 v1 Applications
Machine Learning
Abstract
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 -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 -value achieved from the aforesaid dependent tests solves our concern confirming two groups of short and long bursts.
Keywords
Cite
@article{arxiv.2605.04739,
title = {Confirmation of Binary Clustering in Gamma-Ray Bursts through an Integrated $p$-value from Multiple Nonparametric Tests of Hypotheses},
author = {Soumita Modak},
journal= {arXiv preprint arXiv:2605.04739},
year = {2026}
}