The Fermi GBM gamma-ray burst time-resolved spectral catalog: brightest bursts in the first four years

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Table 2

Mean and median values of the best-fit parameters for the BEST sample.

Parameter	Model	Mean	Median	Parameter	Model	Peak^b

α	BAND	−0.603 ± 0.300		log ₁₀(E_p/ keV)	BAND	log ₁₀(224.98) ± 0.27
	SBPL	−0.763 ± 0.362			SBPL	log ₁₀(165.79) ± 0.40
	COMP	−0.802 ± 0.312			COMP	log ₁₀(274.59) ± 0.26
	PL	−1.674 ± 0.169			–	–
	ALL	−0.867 ± 0.413			ALL	log ₁₀(263.41) ± 0.28
	ALL w/o PL^a	−0.776 ± 0.323			–	–

β	BAND	−2.214 ± 0.272		log ₁₀(E_b/ keV)	BAND	log ₁₀(129.71) ± 0.22
	SBPL	−2.412 ± 0.573			SBPL	log ₁₀(103.50) ± 0.36
	ALL	−2.323 ± 0.472			ALL	log ₁₀(122.27) ± 0.29

Notes. The mean values are computed by simply taking the averages of each parameter, and their errors are given by the standard deviations. The errors of the medians are given by the 1σ errors of each parameter by constructing the CDFs. ALL indicates parameter properties after combining the distributions (i.e., BAND + SBPL + COMP + PL).

^(a)

Due to the very different parameter behavior of PL, we give also the ALL without PL values which better reflect the statistics of the overall distribution of more complex models.

^(b)

The distributions of E_p and E_b are observed to be approximately log-normal, therefore we fit a log-normal distribution to each of the E_p and E_b populations, and reported the peak positions and 1σ widths (in base-10 logarithmic of keV).

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