Mathematics – Probability
Scientific paper
May 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...391..242c&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 391, no. 1, May 20, 1992, p. 242-245.
Mathematics
Probability
19
Gamma Ray Bursts, Pioneer Venus 1 Spacecraft, Spatial Distribution, Background Radiation, Least Squares Method, Radiation Detectors, Statistical Analysis
Scientific paper
The homogeneity of the burst source population in space with the log N(greater than Pc)-log Pc and log (dN/dPc)-log Pc relations is studied on the basis of a sample of 225 observed gamma-ray bursts between September 1978 and July 1988 from the Pioneer Venus Orbiter. The relations N(greater than Pc) is approximately equal to Pc exp -1.5 and dN/dPc is approximately equal to Pc exp -2.5 are expected if the gamma bursters are uniformly distributed in space. The Kolmogorov-Smirnov statistic gives a probability of 0.93 that the observed integral distribution N(greater than Pc) is drawn from the expected uniform distribution Pc exp -1.5. A least-squares 1 standard deviation fit to the observed differential distribution yields dN/dPc of about Pc -2.42 +/- 0.07. Both are consistent with a uniform distribution in space of the parent population of burst sources.
Chuang K. W.
Klebesadel Ray W.
Laros John G.
White Steven R.
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