Selection effects on the size and frequency distribution of cosmic gamma-ray bursts

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Data Sampling, Error Analysis, Frequency Distribution, Gamma Ray Bursts, Size Distribution, Radiant Flux Density, Spatial Distribution, Temporal Distribution

Scientific paper

The authors investigate selection effects on the size and frequency relation (logN-logS curve) of cosmic gamma-ray bursts. They find an indication that an effect is caused by the different time profiles of the bursts. The effect is important for small bursts. In order to avoid this selection effect, the authors mention that it is essential to use the logN-logP relation instead of the logN-logS relation, as already suggested by other authors. Here, P is the peak flux of the burst. After an analysis of the published data, the authors find a distribution near P-3/2 in the range above a peak flux of 40 counts/0.25 s. They also show that the relation between the logN-logP curve and the observed celestial distribution for the bursts can easily be explained by general arguments on a disk-like spatial distribution of burst sources in the Galaxy.

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