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Analysis of the Duration–Hardness Ratio Plane of Gamma-Ray Bursts Using Skewed Distributions

机译:利用偏斜分布分析伽马射线爆发的时长/硬度比平面

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摘要

The two widely accepted classes of gamma-ray bursts (GRBs), short and long, are with confidence ascribed to mergers of compact objects and collapse of massive stars, respectively. A third, intermediate/soft class, remains putative. Its existence was claimed based on univariate and bivariate analyses of GRB observables modeled with Gaussian distributions. This, however, may not be the appropriate approach, as it has already been shown that the univariate distributions of durations are better described by mixtures of two skewed components rather than three Gaussian ones. This paper investigates whether data in the duration–hardness ratio plane is better modeled by mixtures of skewed bivariate distributions than by normal ones. The archival data set of the Compton Gamma-Ray Observatory/BATSE and Fermi/Gamma-ray Burst Monitor data from the most recent catalog release are examined. The preferred model is chosen based on two information criteria, Akaike and Bayesian. It is found that the best description is given by a two-component mixture of skewed Student-t distributions, which outperforms any other model considered. This implies that the distribution of the studied parameters is intrinsically skewed, introducing spurious Gaussian components, and hence the third class is unlikely to be a real phenomenon. Its existence, based on statistical inference, is therefore rejected as unnecessary to explain the observations.
机译:伽玛射线爆发(GRB)这两种广为接受的类型,即短和长,分别有信心归因于紧凑物体的合并和大质量恒星的崩溃。第三类,中级/软类,仍然是假定的。根据使用高斯分布建模的GRB可观察物的单变量和双变量分析声称其存在。但是,这可能不是合适的方法,因为已经表明,持续时间的单变量分布可以通过两个倾斜分量的混合而不是三个高斯分量的混合来更好地描述。本文研究了时滞-硬度比平面中的数据是否可以通过偏态双变量分布的混合比正态分布更好地建模。检查了来自最新目录发布的康普顿伽玛射线天文台/ BATSE和费米/伽玛射线爆裂监测器数据的档案数据集。基于两个信息标准Akaike和Bayesian选择首选模型。发现最好的描述是由偏斜的Student-t分布的两成分混合给出的,其表现优于任何其他考虑的模型。这意味着所研究参数的分布本质上是歪斜的,引入了虚假的高斯分量,因此第三类不太可能是真实现象。因此,基于统计推断,它的存在被拒绝,因为没有必要解释这些观察结果。

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