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Table 3:

Parameters of the best fit with two and three log-normal functions done by the maximum likelihood method on the RHESSI data. $\mu $ are the means, $\sigma $ are the standard deviations, w are the weights of the distribution and L2, L3 are the likelihoods. Given uncertainties are standard deviations of the parameters obtained by ten different fittings of data sets, in which the durations were randomly changed by their uncertainties.
Parameter 2 log-normal 3 log-normal
$\mu_{{\rm short}}$ -0.60 $\pm$ 0.07 -0.64 $\pm$ 0.02
$\sigma_{{\rm short}}$ 0.25 $\pm$ 0.05 0.20 $\pm$ 0.02
$w_{{\rm short}}[\%]$ 10.2 $\pm$ 1.3 9.4 $\pm$ 0.4
$\mu_{{\rm long}}$ 1.20 $\pm$ 0.01 1.26 $\pm$ 0.01
$\sigma_{{\rm long}}$ 0.47 $\pm$ 0.01 0.41 $\pm$ 0.01
$w_{{\rm long}}[\%]$ 89.8 $\pm$ 1.3 84.4 $\pm$ 1.0
$\mu_{{\rm middle}}$   0.17 $\pm$ 0.04
$\sigma_{{\rm middle}}$   0.22 $\pm$ 0.06
$w_{{\rm middle}}[\%]$   6.2 $\pm$ 1.4
$\ln L_{{\rm 2}}$ -389.17  
$\ln L_{{\rm 3}}$   -379.95

Source LaTeX | All tables | In the text

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