Mathematics – Probability
Scientific paper
Dec 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aas...20921204a&link_type=abstract
2007 AAS/AAPT Joint Meeting, American Astronomical Society Meeting 209, #212.04; Bulletin of the American Astronomical Society,
Mathematics
Probability
Scientific paper
By using recent publicly available observational data obtained in conjunction with the NASA Swift gamma-ray burst mission and a novel data analysis technique, we have been able to make some rough estimates of the GRB afterglow apparent optical luminosity distribution function. The results suggest that 80% of all bursts have optical magnitudes with mR < 20.5 at 1000 seconds after the burst onset. If the estimated integral distribution function is extrapolated crudely to saturation at unit probability, the darkest burst would correspond to mR 22 at t = 1000 s. Only GRBs dimmer than this should be truly labeled as "dark". These results have implications for future plans for multiwavelength GRB studies. The employed numerical techniques might find application in a variety of other data analysis problems. This research was supported by NSF/AFOSR grant AST-0335588, NASA grant APRA03-0000-0063 and NSF grant AST-0407061.
Akerlof Carl W.
Swan Heather F.
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