Two Dimensional Classification of the Swift/BAT GRBs

Abstract

Using Gaussian Mixture Model and Expectation Maximization algorithm, we have performed a density estimation in the framework of $T_{90}$ versus hardness ratio for 296 Swift/BAT GRBs with known redshift. Here, Bayesian Information Criterion has been taken to compare different models. Our investigations show that two instead of three or more Gaussian components are favoured in both the observer and rest frames. Our key findings are consistent with some previous results.

9 pages, 8 figures, accepted by AP&SS

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• Testing Isotropic Universe Using the Gamma-Ray Burst Data of Fermi / GBM
• Temporal Properties of Precursors, Main peaks and Extended Emissions of Short GRBs in the Third Swift/BAT GRB Catalog
• Classifying GRB170817A / GW170817 in a Fermi duration - hardness plane
• Two Dimensional Clustering of Gamma-Ray Bursts using durations and hardness
• Multivariate analysis of BATSE gamma-ray burst properties using skewed distributions
• Graph-based clustering of gamma-ray bursts
• Multidimensional analysis of Fermi GBM gamma-ray bursts
• Can the Cosmological Dilation Explain the Skewness in the Gamma-Ray Burst Duration Distribution?
• Confirmation of Binary Clustering in Gamma-Ray Bursts through an Integrated $p$-value from Multiple Nonparametric Tests of Hypotheses
• Gamma-ray burst taxonomy: looking for the third class on the spectral peak energy-duration plane in the rest frame
• How does the shape of gamma-ray bursts' pulses affect the duration distribution?