First Digit Distributions of Gamma-Ray Bursts  

作　　者：Hou-Yu Lai Jun-Jie Wei 

机构地区：[1]Purple Mountain Observatory,Chinese Academy of Sciences,Nanjing 210023,China [2]School of Astronomy and Space Sciences,University of Science and Technology of China,Hefei 230026,China

出　　处：《Research in Astronomy and Astrophysics》2024年第5期70-75,共6页天文和天体物理学研究（英文版）

基　　金：supported by the Strategic Priority Research Program of the Chinese Academy of Sciences(grant No.XDB0550400);the Key Research Program of Frontier Sciences(grant No.ZDBS-LY-7014)of Chinese Academy of Sciences;the National Natural Science Foundation of China(NSFC,Grant Nos.12373053 and 12321003);the Natural Science Foundation of Jiangsu Province(grant No.BK20221562)。

摘　　要：The occurrence of the first significant digits from real world sources is usually not equally distributed,but is consistent with a logarithmic distribution instead,known as Benford’s law.In this work,we perform a comprehensive investigation on the first digit distributions of the duration,fluence,and energy flux of gamma-ray bursts (GRBs) for the first time.For a complete GRB sample detected by the Fermi satellite,we find that the first digits of the duration and fluence adhere to Benford’s law.However,the energy flux shows a significant departure from this law,which may be due to the fact that a considerable part of the energy flux measurements is restricted by lack of spectral information.Based on the conventional duration classification scheme,we also check if the durations and fluences of long and short GRBs (with duration T_(90)>2 s and T_(90)≤2 s,respectively) obey Benford’s law.We find that the fluences of both long and short GRBs still agree with the Benford distribution,but their durations do not follow Benford’s law.Our results hint that the long–short GRB classification scheme does not directly represent the intrinsic physical classification scheme.

关 键 词：(stars:)gamma-ray burst general-methods statistical-astronomical databases MISCELLANEOUS 

分 类 号：P172.3[天文地球—天文学]