Search for gamma-ray burst classes with the RHESSI satellite

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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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