论文标题
T90硬度比平面上伽马射线爆发的分布及其分类。
Distribution of gamma-ray bursts on the t90-hardness ratio plane and their classification revisited
论文作者
论文摘要
我们使用四个混合双变量分布(正态分布,偏斜正常分布,学生分布,偏度分布)和自举重新采样分析,我们分析了CGRO/BATSE,SWIFT/BATSE和FERMI/GBM/GBM伽马射线射线的样本,详细介绍了T90-耐标准平面上的T90-HADNESS率。贝叶斯信息标准用于全面地判断每个样本的合适性。发现所有三个样本均显示对称(正常或学生)分布。还发现,三类伽马射线爆发的存在是三个样本首选的,但是这种偏好的强度随样本量而变化:当数据集的样本量更大时,三类方案的偏好会变得较弱。因此,中间类的外观可能是由于样本量较小而引起的,并且仍然无法驱逐两类的伽马射线爆发。 Bootstrap重新采样分析也证实了这一结果。
Using four mixed bivariate distributions (Normal distribution, Skew-Normal distribution, Student distribution, Skew-Student distribution) and bootstrap re-sampling analysis, we analyze the samples of CGRO/BATSE, Swift/BAT and Fermi/GBM gamma-ray bursts in detail on the t90-hardness ratio plane. The Bayesian information criterion is used to judge the goodness of fit for each sample, comprehensively. It is found that all the three samples show a symmetric (either normal or student) distribution. It is also found that the existence of three classes of gamma-ray bursts is preferred by the three samples, but the strength of this preference varies with the sample size: when the sample size of the data set is larger, the preference of three classes scheme becomes weaker. Therefore, the appearance of an intermediate class may be caused by a small sample size and the possibility that there are only two classes of gamma-ray bursts still cannot be expelled yet. A further bootstrap re-sampling analysis also confirms this result.