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tokens: ; Margutti et al. 2013 ; D’Avanzo et al. 2014 ; Zaninoni et al. 2016 ). In order to check whether XRFs, XRRs, and C-GRBs in our sample follow this correlation, respectively, we collect the E γ ,iso and E X ,iso data of the GRBs in our sample from Amati et al. ( 2008 ), Margutti et al. ( 2013 ), and Liang et al. ( 2015 ). First, the relation between E X ,iso and E γ ,iso is shown in Figure 9 . We perform the maximum likelihood method and obtain the fitting of with the extrinsic scatter of σ = 0.57 ±0.04. The E X ,iso – E γ ,iso relation is consistent with that derived by Margutti et al. ( 2013 ). Second, we also investigate the correlation between E peak, z and E γ ,iso . The result is shown in Figure 10 . The correlation fitted by the maximum likelihood method is (keV) = (2.17 ± 0.04) + (0.46 ± 0.03) with the extrinsic scatter of σ = 0.26 ± 0.02. Our result is consistent with the correlation reported by Amati ( 2006 ). Third, in Figure 11 , we present the relation between E X ,iso and E peak, z by the maximum likelihood method with the fitting of = (49.69 ± 0.27) + (0.75 ± 0.11) , and the extrinsic scatter is σ = 0.73 ± 0.04. Our result is consistent with that of Margutti et al. ( 2013 ). Finally, the E X ,iso – E γ ,iso – E peak, z relation is shown in Figure 12 . The result with the fitting of = (4.78 ± 2.79) + (0.92 ± 0.06) and the extrinsic scatter of σ = 0.44 ± 0.04 produced by the maximum likelihood method is consistent with that of Margutti et al. ( 2013 ) as well. Figure 9. Correlation between E X ,iso and E γ ,iso in the Swift -BAT3 sample. The green solid line is the best fit with the function of ( E X ,iso ) = (13.31 ± 2.73) + (0.73 ± 0.05) log( E γ ,iso ), and the extrinsic scatter is σ = 0.57 ± 0.04. The green dashed lines are marked for the 2 σ regions. The pink dashed–dotted line is the best-fitting function of log( E X ,iso ) = (10.0 ± 20.6) + (0.79 ± 0.01) log( E γ ,iso ) reported by Margutti et al. ( 2013 ). XRFs, XRRs, and C-GRBs are marked as black squares, red dots, and blue triangles, respectively. The GRBs labeled as outliers in the figure are L-GRBs, and the exception is short GRB 090510. Figure 10. Correlation between GRB peak energy E peak, z in the rest frame and GRB isotropic-equivalent energy E γ ,iso . The green solid line is the best fit with the function of log( E peak, z ) (keV) = (2.17 ± 0.04) + (0.46 ± 0.03) , and the extrinsic scatter is σ = 0.26 ± 0.02. and the green dashed lines are marked for the 3 σ regions. The pink dashed–dotted line is the best fit with the function of E peak, z = 95 keV( E γ ,iso /10 52 erg) 0.49 reported by Amati ( 2006 ). XRFs, XRRs, and C-GRBs are marked as black squares, red dots, and blue triangles, respectively. Figure 11. Correlation between GRB X-ray energy E X ,iso and GRB peak energy E peak, z . The green solid line is the best fit with the function of , and the extrinsic scatter is σ = 0.73 ± 0.04. The green dashed lines are marked for the 1 σ regions. The pink dashed line