Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...432..665s&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 432, no. 2, p. 665-671
Astronomy and Astrophysics
Astronomy
13
Error Analysis, Gamma Ray Bursts, Kolmogorov-Smirnov Test, Monte Carlo Method, Gamma Ray Astronomy, Gamma Ray Observatory
Scientific paper
The discovery of excess nearest neighbor clustering on small angular scales in the Burst and Transient Source Experiment (BATSE) catalog gamma ray burst (GRB) positions has recently been used to argue that classical GRB sources repeat on a timescale of months. We employ extensive simulations describing burst repetition to investigate the influence of burst location uncertainties on both the ability of BATSE to detect burst source repetition and to place constraints on the fraction of repeating sources. From Monte Carlo simulations we find that the current level of uncertainty in BATSE burst locations severely limits the ability to confidently detect source repetition from distributions of sources containing fewer than 10%-15% repeaters. A fit of our burst repetition model to the sample of 260 BATSE catalog bursts yields a best-fit repeating fraction of fr = 21% with a 90% confidence region on fr ranging from 5.5% to 32.5%. By modifying the size of the measurement errors in our simulations we also show that the location and width of the derived confidence region for fr depends sensitively on the BATSE burst location uncertainties. In addition, with BATSE's present burst location accuracy, we find that analysis of larger samples of bursts will only marginally improve the constraint on the repeating fraction.
Fenimore Edward E.
Miralles Juan A.
Strohmayer Tod E.
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