Log-normal Distributions in Gamma-Ray Burst Time Histories | Zendy

Hui Li | Zendy; E. E. Fenimore | Zendy

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Log-normal Distributions in Gamma-Ray Burst Time Histories

Author(s) -

Hui Li,

E. E. Fenimore

Publication year - 1996

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/310275

Subject(s) - gamma ray burst , poisson distribution , physics , gaussian , statistical physics , power law , interval (graph theory) , fluence , gamma distribution , distribution (mathematics) , astrophysics , statistics , mathematics , optics , mathematical analysis , combinatorics , quantum mechanics , laser

We propose a new, simple but powerful algorithm to analyze the gamma-rayburst temporal structures based on identifying non-statistical variations(``peaks'') in the time histories. Detailed analyses of the bursts from thethird BATSE catalog show that $\sim 30$ bursts have more than 20 peaksindividually. Upon identifying most of the peaks in those bursts, we show thatthe peak fluence $S_i$ and peak interval $\delta_i$ distributions within eachburst are consistent with log-normal distributions. Furthermore, we show thatGaussian (in linear space) and power-law distributions for peak fluences areruled out, as is the Poisson distribution for peak intervals.Comment: 4 figures, AASTeX, to appear in ApJ Letter

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