\begin{table}%t3 %\centering \par \caption{\label{tab3}Results of the $\chi^2$ fitting of the sample without the known redshift with 258 GRBs.} \small \par \begin{tabular}{lrrrrrrr} \hline \hline Fit & I. & II. & III. & IV. & V. & VI. & VII. \\ No.~ of & & & & & & & \\ bins & 11 & 14 & 16 & 18 & 20 & 22 & 23 \\ \hline 1 G & & & & & & & \\ $\chi_1^2$ & 57.8 & 66.8 & 67.3 & 71.4 & 76.0 & 83.8 & 76.2 \\ si.[\%] & $10^{-7}$ & $10^{-8}$ & $10^{-7}$ & $10^{-7}$ & $10^{-7}$ & $10^{-8}$ & $10^{-6}$ \\ $\mu$ & 1.47 & 1.41 & 1.41 & 1.41 & 1.41 & 1.42 & 1.41 \\ $\sigma$ & 0.83 & 0.90 & 0.86 & 0.90 & 0.87 & 0.90 & 0.88 \\ \hline 2 G & & & & \\ $\chi_2^2$ &6.9 & 9.5 & 15.1 & 13.7 & 18.2 & 23.2 & 19.5 \\ si.[\%] & 22.8 & 30.6 & 13.0 & 31.8 & 20.0 & 10.9 & 30.0 \\ $\mu_1$ & -0.04 & 0.09 & 0.36 & 0.22 & 0.38 & 0.28 & 0.48 \\ $\sigma_1$ & 0.81 & 1.07 & 0.98 & 1.06 & 1.00 & 1.03 & 1.03 \\ $\mu_2$ & 1.58 & 1.60 & 1.60 & 1.61 & 1.62 & 1.62 & 1.63 \\ $\sigma_2$ & 0.51 & 0.51 & 0.49 & 0.50 & 0.48 & 0.49 & 0.48 \\ $w_2$ &0.86 & 0.83 & 0.80 & 0.81 & 0.79 & 0.80 & 0.76 \\ F[\%] & 0.36 & 0.04 & 0.07 & 0.01 & 0.01 & 0.01 & $10^{-3}$\\ \hline 3 G & & & & \\ $\chi_3^2$ &2.9 & 3.1 & 10.6 & 9.2 & 14.8 & 18.3 & 17.0 \\ si.[\%] & 23.3 & 68.2 & 15.8 & 42.1 & 19.1 & 14.5 & 25.9 \\ $\mu_1$ & --0.46 & --0.55 & --0.52 & --0.38 & 0.97 & --0.38 & --0.12 \\ $\sigma_1$ & 0.40 & 0.82 & 0.59 & 0.80 & 1.13 & 0.78 & 0.86\\ $\mu_2$ & 0.86 & 1.47 & 1.37 & 1.51 & 1.15 & 1.48 & 1.52 \\ $\sigma_2$ & 0.33 & 0.56 & 0.57 & 0.57 & 0.19 & 0.56 & 0.55 \\ $w_2 $ &0.20 & 0.77 & 0.67 & 0.78 &0.17 & 0.74 & 0.74 \\ $\mu_3$ & 1.72 & 1.97 & 1.89 & 1.91 & 1.82 & 1.94 & 1.88 \\ $\sigma_3$ & 0.43 & 0.15 & 0.28 & 0.15 & 0.29 & 0.20 & 0.20 \\ $w_3$ &0.72 & 0.13 & 0.25 & 0.11 & 0.45 & 0.15 & 0.13 \\ F[\%] & 40.20 & 6.81 & 39.50 & 23.87 & 47.00 & 33.60 & 53.60 \\ \hline \end{tabular} \end{table}