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Table 1.

Best-fit values and 90% confidence intervals of the parameters of the mixture model of two exponentials (Eq. (1)) applied to the different data sets.

Catalog N(a) Np(b) k n1 n(1)(c) n2 n(2)(c) ξ (d) χ2 test
p-value
BATSE 1457 8112 0.164
BAT 1277 3817 0.78 ± 0.08 1.47 ± 0.17 2.03 ± 0.17 0.845
BeppoSAX 820 2151 0.440
HXMT 202 616 0.600
All (e) 3756 14 696 0.59 ± 0.03 2.36 ± 0.10 0.20 ± 0.03 0.033
W. aver. (f) 2.1 ± 0.1 8.3 ± 0.1 0.19 ± 0.03

Notes.

(a)

Number of GRBs.

(b)

Total number of peaks.

(c)

Expected number of peaks per GRB of the corresponding exponential component, calculated as in Eq. (2).

(d)

Defined in Eq. (3), it is the total fraction of GRBs contributed by the second exponential, characterised by a higher average number of peaks per GRB.

(e)

All data sets have been merged together and treated as one sample.

(f)

Weighted average value using the different estimates of the four catalogues.

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