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Table 1:

Parameters of the best $\chi ^2$ fits of two and three log-normal functions on the RHESSI GRB T90 distribution. $\mu $ are the means, $\sigma $ are the standard deviations and w are the weights of the distribution. Given uncertainties are standard deviations of the parameters obtained by ten different fittings of randomly changed histogram of durations by their uncertainties.
Parameter 2 log-normal 3 log-normal
$\mu_{{\rm short}}$ -0.46 $\pm$ 0.13 -0.68 $\pm$ 0.09
$\sigma_{{\rm short}}$ 0.60 $\pm$ 0.06 0.20 $\pm$ 0.03
$w_{{\rm short}}[\%]$ 18.7 $\pm$ 1.5 8.9 $\pm$ 1.0
$\mu_{{\rm long}}$ 1.26 $\pm$ 0.03 1.27 $\pm$ 0.03
$\sigma_{{\rm long}}$ 0.42 $\pm$ 0.01 0.41 $\pm$ 0.01
$w_{{\rm long}}[\%]$ 81.3 $\pm$ 1.5 83.4 $\pm$ 0.9
$\mu_{{\rm middle}}$   0.17 $\pm$ 0.06
$\sigma_{{\rm middle}}$   0.27 $\pm$ 0.06
$w_{{\rm middle}}[\%]$   7.7 $\pm$ 1.0
$\rm d.o.f.$ 14 11
$\chi ^2$ 19.13 10.30
goodness[%] 16.0 50.4
     
F0 3.14  
$P(F>F_{0})[\%] $ 6.9  

Source LaTeX | All tables | In the text

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