Two Dimensional Clustering of Gamma-Ray Bursts using durations and hardness

Abstract

Gamma-Ray Bursts (GRBs) have been traditionally divided into two categories: "short" and "long" with durations less than and greater than two seconds, respectively. However, there is a lot of literature (with conflicting results) regarding the existence of a third intermediate class. To investigate this issue, we carry out a two-dimensional classification using the GRB hardness and duration, and also incorporating the uncertainties in both the variables, by using an extension of Gaussian Mixture Model called Extreme Deconvolution (XDGMM). We carry out this analysis on datasets from two detectors, viz. BATSE and Fermi-GBM. We consider the duration and hardness features in log-scale for each of these datasets and determine the best-fit parameters using XDGMM. This is followed by information theoretic criterion-based tests (AIC and BIC) to determine the optimum number of classes. For BATSE, we find that both AIC and BIC show preference for two components with close to decisive and decisive significance, respectively. For Fermi-GBM, AIC shows preference for three components with decisive significance, whereas BIC does not find any significant difference between two and three components. Our analysis codes have been made publicly available.

12 pages, 6 figures. Replaced GMM with XDGMM. Also now using only BATSE and Fermi-GBM. Accepted for publication in APSS

References in corpus (47)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• The Supernova -- Gamma-Ray Burst Connection
• An Ordinary Short Gamma-Ray Burst with Extraordinary Implications: Fermi-GBM Detection of GRB 170817A
• The Physics of Gamma-Ray Bursts and Relativistic Jets
• Discerning the physical origins of cosmological Gamma-ray bursts based on multiple observational criteria: the cases of z=6.7 GRB 080913, z=8.3 GRB 090423, and some short/hard GRBs
• The Fourth Fermi-GBM Gamma-Ray Burst Catalog: A Decade of Data
• Markov Chain Monte Carlo Methods for Bayesian Data Analysis in Astronomy
• The 3rd Fermi GBM Gamma-Ray Burst Catalog: The First Six Years
• GW170817 Falsifies Dark Matter Emulators
• Discovery and confirmation of the shortest gamma ray burst from a collapsar
• First Multimessenger Observations of a Neutron Star Merger
• A new definition of the intermediate group of gamma-ray bursts
• Post-Launch Analysis of Swift's Gamma-Ray Burst Detection Sensitivity
• Further Study of the Gamma-Ray Bursts Duration Distribution
• Classification of Swift's gamma-ray bursts
• An analysis of the durations of Swift Gamma-Ray Bursts
• An Unambiguous Separation of Gamma-Ray Bursts into Two Classes from Prompt Emission Alone
• Statistical Study of Observed and Intrinsic Durations among BATSE and Swift/BAT GRBs
• Classification of Gamma-Ray Burst durations using robust model-comparison techniques
• Ultra Long Gamma-Ray Bursts from the collapse of Blue Super Giant stars: an end-to-end simulation
• Gaussian-Mixture-Model-based Cluster Analysis Finds Five Kinds of Gamma Ray Bursts in the BATSE Catalog
• Analysis of the duration--hardness ratio plane of gamma-ray bursts using skewed distributions
• The duration distribution of Swift Gamma-Ray Bursts
• Gaussian-mixture-model-based cluster analysis of gamma-ray bursts in the BATSE catalog
• EmpiriciSN: Re-sampling Observed Supernova/Host Galaxy Populations using an XD Gaussian Mixture Model
• Spectral and spatial analysis of the dark matter subhalo candidates among Fermi Large Area Telescope unidentified sources
• Sagittarius stream 3-d kinematics from SDSS Stripe 82
• Statistical Significance of spectral lag transition in GRB 160625B
• Model Comparison tests of modified gravity from the Eöt-Wash experiment
• Distributions of Pseudo-Redshifts and Durations (Observed and Intrinsic) of Fermi GRBs
• Classifying GRB170817A / GW170817 in a Fermi duration - hardness plane
• GRB Observational Properties
• Galactic Double Neutron Star total masses and Gaussian mixture model selection
• Multivariate analysis of BATSE gamma-ray burst properties using skewed distributions
• Two Dimensional Classification of the Swift/BAT GRBs
• A search for evidence of solar rotation in Super-Kamiokande solar neutrino dataset
• Robust model comparison tests of DAMA/LIBRA annual modulation
• An independent assessment of significance of annual modulation in COSINE-100 data
• Frequentist model comparison tests of sinusoidal variations in measurements of Newton's gravitational constant
• Gamma-Ray Bursts: To be Short or Long is not the Question
• Graph-based clustering of gamma-ray bursts
• Multidimensional analysis of Fermi GBM gamma-ray bursts
• A Tight Three-parameter Correlation and Related Classification on Gamma-Ray Bursts
• Classifying Exoplanets with Gaussian Mixture Model
• An independent search for annual modulation and its significance in ANAIS-112 data
• Statistical Issues in Neutrino Physics Analyses
• Gamma-ray bursts and their use as cosmic probes

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