Generalized linear models study on T90-T50 relation of GRBs

Abstract

Gamma-ray bursts (GRBs) can be studied with their linearly dependent parameters alongside the standard T90 distribution. The Generalized linear mixture model(GLM) identifies the number of linear dependencies in a two-parameter space. Classically, GRBs are classified into two classes by the presence of bimodality in the histogram of T90. However, additional classes and different features of GRBs are fascinating topics to explore. In this work, we investigate the GRBs features in the T90 − T50 plane using the GLM for the three major catalogs, Swift, Fermi GBM and BATSE. This study shows five linear features for the Fermi GBM catalog and four linear features for the BATSE catalog, directing towards the possibility of non-Gaussianity in the light curves of GRBs.