The Kolmogorov-Smirnov test for three redshift distributions of long gamma-ray bursts in the Swift Era |
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| Authors: | Yun-Ming Dong Tan Lu |
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| Institution: | [1]College of Physics and Electronic Engineering, Sichuan Normal University, Chengdu 610066,China [2]Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210008, China |
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| Abstract: | We investigate redshift distributions of three long burst samples, with the first sample containing 131 long bursts with observed redshifts, the second including 220 long bursts with pseudo-redshifts calculated by the variability-luminosity relation, and the third including 1194 long bursts with pseudo-redshifts calculated by the lag-luminosity relation, respectively. In the redshift range 0-1 the Kolmogorov-Smirnov probability of the observed redshift distribution and that of the variability-luminosity relation is large. In the redshift ranges 1-2, 2-3, 3-6.3 and 0-37, the Kolmogorov-Smimov probabilities of the redshift distribution from lag-luminosity relation and the observed redshift distri-bution are also large. For the GRBs, which appear both in the two pseudo-redshift burst samples, the KS probability of the pseudo-redshift distribution from the lag-luminosity relation and the observed reshifi distribution is 0.447, which is very large. Based on these results, some conclusions are drawn: I) the V-Liso relation might be more believable than the τ-Liso relation in low redshift ranges and the τ-Liso relation might be more real than the V-Liso relation in high redshift ranges; ii) if we do not consider the redshift ranges, the τ-Liso relation might be more physical and intrinsical than the V-Liso relation. |
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| Keywords: | gamma rays: bursts-redshifts-distributions: statistical-KS test |
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