Correlations between various hardness ratios of gamma-ray bursts
  We study correlations between various hardness ratios of gamma-ray bursts (GRBs) and investigate if there are any differences between the two classes of the objects in the distributions of the ratios. The results suggest that, statistically, the slope of the higher part of the spectrum of the long duration bursts has nothing to do with that of the lower part; emissions at higher energy bands from the bursts of both short and long duration classes must be significantly different for different sources, while radiations at lower energy bands of the objects are relatively similar; the spectrum of the short duration bursts must be harder than that of the long duration bursts, confirming what the well-known hardness-duration correlation reveals; the profiles of the spectra between the long duration bursts must be more similar than that between the short duration bursts. The long duration bursts would share more common properties than the short duration bursts. A possible interpretation is proposed with the concept of the Doppler boosting in the relativistic beaming model in AGNs. 
Yi-Ping Qin, Guang-Zhong Xie, Xue-Tang Zheng, En-Wei Liang