2006
DOI: 10.1086/500816
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Quantifying the Luminosity Evolution in Gamma‐Ray Bursts

Abstract: We estimate the luminosity evolution and formation rate for over 900 GRBs by using redshift and luminosity data calculated by Band, Norris, & Bonnell (2004) via the lag-luminosity correlation. By applying maximum likelihood techniques, we are able to infer the true distribution of the parent GRB population's luminosity function and density distributions in a way that accounts for detector selection effects. We find that after accounting for data truncation, there still exists a significant correlation between … Show more

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Cited by 50 publications
(83 citation statements)
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“…To this aim we apply a direct method (Lynden-Bell 1971) and its specific version already applied to GRBs, e.g. Yonetoku et al (2004Yonetoku et al ( , 2014, Kocevski & Liang (2006), Wu et al (2012), P15, Y15. This is the first time this method has been applied to a well-defined sample of GRBs that is complete in flux and 82% complete in redshift.…”
Section: Summary and Discussionmentioning
confidence: 99%
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“…To this aim we apply a direct method (Lynden-Bell 1971) and its specific version already applied to GRBs, e.g. Yonetoku et al (2004Yonetoku et al ( , 2014, Kocevski & Liang (2006), Wu et al (2012), P15, Y15. This is the first time this method has been applied to a well-defined sample of GRBs that is complete in flux and 82% complete in redshift.…”
Section: Summary and Discussionmentioning
confidence: 99%
“…Chiang & Mukherjee 1998;Maloney & Petrosian 1999;Singal et al 2012Singal et al , 2013 and it has been applied to GRBs (Lloyd & Petrosian 1999;Kocevski & Liang 2006). Wanderman & Piran (2010) adopt a maximum likelihood estimator to derive the discrete luminosity function and cosmic formation rate.…”
Section: φ(L) and ψ(Z) Of Long Grbsmentioning
confidence: 99%
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“…Given the lack of real redshifts, many authors instead sought to derive pseudo-redshifts using properties of the LGRB lightcurves in order to derive a LGRB luminosity function; the most popular of which included the lag-luminosity relationship (Norris, Marani & Bonnell 2000; Kocevski & Liang 2006), the variability-luminosity relationship (Fenimore & RamirezRuiz 2000;Reichart et al 2001;Lloyd-Ronning, Fryer & Ramirez-Ruiz 2002;Wei & Gao 2003); and the Amati relationship (Amati et al 2002;Atteia 2003;Firmani et al 2004;Yonetoku et al 2004;Salvaterra & Chincarini 2007;Salvaterra et al 2009). The large intrinsic scatter within these relationships produces however a redshift distribution that, whilst arguably it represents that of the true LGRB redshift distribution, also shows significant uncertainty in the fitted parameters.…”
Section: Introductionmentioning
confidence: 99%
“…Previous works use the GRB redshift distribution to study the LF or GRB rate do not consider the missing redshift problem (e.g. Kocevski & Liang 2006;Salvaterra et al 2012). However, this selection effect is very important for these studies, as only ∼ 30% of Swift GRBs have measured redshifts.…”
Section: Introductionmentioning
confidence: 99%