Cosmology using long gamma-ray bursts: statistical analysis of errors in calibrated data
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摘要
We investigate direction dependence and non-Gaussian features in high-z cosmological data using ?_(χ~2) and ?_χ statistics and the Kolmogorov-Smirnov test. These techniques are applied on a set of calibrated long gamma-ray bursts(GRBs) and its combination with recent Type Ia supernovae data(Union2). Our statistical analysis shows a weak but consistent direction dependence in both the data sets.The analysis also indicates a non-Gaussian nature of errors in both data sets.
We investigate direction dependence and non-Gaussian features in high-z cosmological data using ?_(χ~2) and ?_χ statistics and the Kolmogorov-Smirnov test. These techniques are applied on a set of calibrated long gamma-ray bursts(GRBs) and its combination with recent Type Ia supernovae data(Union2). Our statistical analysis shows a weak but consistent direction dependence in both the data sets.The analysis also indicates a non-Gaussian nature of errors in both data sets.
We investigate direction dependence and non-Gaussian features in high-z cosmological data using ?_(χ~2) and ?_χ statistics and the Kolmogorov-Smirnov test. These techniques are applied on a set of calibrated long gamma-ray bursts(GRBs) and its combination with recent Type Ia supernovae data(Union2). Our statistical analysis shows a weak but consistent direction dependence in both the data sets.The analysis also indicates a non-Gaussian nature of errors in both data sets.
引文
Amanullah, R.,Lidman,C.,Rubin.D.,et al. 2010, ApJ,716, 712
Amati,L., Guidorzi,C.,Frontera,F., et al. 2008, MNRAS,391,577
Cucchiara,A.,Cenko, S. B.,Bloom,J. S.,et al. 2011,ApJ,743,154
Firmani, C., Ghisellini, G., Ghirlanda, G.,&Avila-Reese, V.2005,MNRAS,360,L1
Ghirlanda, G., Ghisellini, G., Lazzati, D.,&Firmani, C. 2004,ApJ, 613,L13
Ghirlanda, G., Ghisellini, G.,&Firmani, C. 2006, New Journal of Physics, 8,123
Gupta, S.,Saini,T. D.,&Laskar,T. 2008, MNRAS,388, 242
Gupta,S.,&Saini, T. D. 2010, MNRAS, 407, 651
Gupta, S.,&Singh, M. 2014, MNRAS,440, 3257
Haan,L. D.,&Ferreira, A. 2006, Extreme Value Theory:an Introduction(Springer)
Kodama, Y., Yonetoku, D., Murakami, T., et al. 2008, MNRAS,391.L1
Li,H.,Xia,J.,Q.,Liu,J., et al. 2008, ApJ,680, 92
Liang, E.,&Zhang, B. 2005, ApJ, 633, 611
Liang, N.,Xiao, W. K., Liu,Y.,&Zhang, S. N. 2008, ApJ,685,354
Liu, J.,&Wei, H. 2015, General Relativity and Gravitation, 47,141
Press,W. H.,Teukolsky,S. A.,Vetterling,W. T.,&Flannery,B. P. 2002, Numerical Recipes 3rd Edition:The Art of Scientific Computing(Cambridge University Press; 3 edition)
Salvaterra, R., Della Valle, M., Campana, S., et al. 2009, Nature,461, 1258
Singh, M.,Gupta, S., Pandey, A.,&Sharma, S. 2016a, J.Cosmol. Astropart. Phys., 8, 026
Singh,M.,Pandey,A., Sharma, A., Gupta, S.,&Sharma, S.2016b, RAA(Research in Astronomy and Astrophysics),16,171
Wei, H. 2010, J. Cosmol. Astropart. Phys., 8, 020
Weinberg, S. 2008, Cosmology(Oxford:Oxford University Press)
Amati,L., Guidorzi,C.,Frontera,F., et al. 2008, MNRAS,391,577
Cucchiara,A.,Cenko, S. B.,Bloom,J. S.,et al. 2011,ApJ,743,154
Firmani, C., Ghisellini, G., Ghirlanda, G.,&Avila-Reese, V.2005,MNRAS,360,L1
Ghirlanda, G., Ghisellini, G., Lazzati, D.,&Firmani, C. 2004,ApJ, 613,L13
Ghirlanda, G., Ghisellini, G.,&Firmani, C. 2006, New Journal of Physics, 8,123
Gupta, S.,Saini,T. D.,&Laskar,T. 2008, MNRAS,388, 242
Gupta,S.,&Saini, T. D. 2010, MNRAS, 407, 651
Gupta, S.,&Singh, M. 2014, MNRAS,440, 3257
Haan,L. D.,&Ferreira, A. 2006, Extreme Value Theory:an Introduction(Springer)
Kodama, Y., Yonetoku, D., Murakami, T., et al. 2008, MNRAS,391.L1
Li,H.,Xia,J.,Q.,Liu,J., et al. 2008, ApJ,680, 92
Liang, E.,&Zhang, B. 2005, ApJ, 633, 611
Liang, N.,Xiao, W. K., Liu,Y.,&Zhang, S. N. 2008, ApJ,685,354
Liu, J.,&Wei, H. 2015, General Relativity and Gravitation, 47,141
Press,W. H.,Teukolsky,S. A.,Vetterling,W. T.,&Flannery,B. P. 2002, Numerical Recipes 3rd Edition:The Art of Scientific Computing(Cambridge University Press; 3 edition)
Salvaterra, R., Della Valle, M., Campana, S., et al. 2009, Nature,461, 1258
Singh, M.,Gupta, S., Pandey, A.,&Sharma, S. 2016a, J.Cosmol. Astropart. Phys., 8, 026
Singh,M.,Pandey,A., Sharma, A., Gupta, S.,&Sharma, S.2016b, RAA(Research in Astronomy and Astrophysics),16,171
Wei, H. 2010, J. Cosmol. Astropart. Phys., 8, 020
Weinberg, S. 2008, Cosmology(Oxford:Oxford University Press)