A Possible Origin of Lognormal Distributions in Gamma-Ray Bursts
A Possible Origin of Lognormal Distributions in Gamma-Ray Bursts
复制标题
伽马射线暴中对数正态分布的可能起源
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
Takashi Nakamura
中科院分区：
文献类型：
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作者：
K. Ioka;Takashi Nakamura
我们证明，如果伽马射线暴（GRB）的固有破断能由三个以上随机变量的乘积决定，则由于中心极限定理，观察到的破断能分布几乎变得对数正态，包括红移效应。低断裂能处对数正态分布的过量可能是由于高红移伽玛暴造成的。相同的论点也适用于脉冲持续时间、脉冲之间的间隔等。
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.