Possible Origin of Lognormal Distributions in Gamma-Ray Bursts

Details Possible Origin of Lognormal Distributions in Gamma-Ray Bursts Possible Origin of Lognormal Distributions in Gamma-Ray Bursts

2002-02-02

arxiv.org/abs/astro-ph/0202053v2

Astronomy and Astrophysics

Astrophysics

11 pages, 3 figures, accepted for publication in ApJL

Scientific paper

10.1086/340815

We show that if the intrinsic break energy of Gamma-Ray Bursts (GRBs) is determined by the product of more than three random variables the observed break energy distribution becomes almost lognormal including the redshift effect because of the central limit theorem. The excess from the lognormal distribution at the low break energy is possibly due to the high redshift GRBs. The same argument may also apply to the pulse duration, the interval between pulses and so on.

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