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Application of Bayesian graphs to SN Ia data analysis and compression
Ma, Cong; Corasaniti, Pier-Stefano; Bassett, Bruce A.
2016
发表期刊MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
卷号463期号:2页码:0
摘要Bayesian graphical models are an efficient tool for modelling complex data and derive self-consistent expressions of the posterior distribution of model parameters. We apply Bayesian graphs to perform statistical analyses of Type Ia supernova (SN Ia) luminosity distance measurements from the joint light-curve analysis (JLA) data set. In contrast to the chi(2) approach used in previous studies, the Bayesian inference allows us to fully account for the standard-candle parameter dependence of the data covariance matrix. Comparing with chi(2) analysis results, we find a systematic offset of the marginal model parameter bounds. We demonstrate that the bias is statistically significant in the case of the SN Ia standardization parameters with a maximal 6s shift of the SN light-curve colour correction. In addition, we find that the evidence for a host galaxy correction is now only 2.4s. Systematic offsets on the cosmological parameters remain small, but may increase by combining constraints from complementary cosmological probes. The bias of the chi(2) analysis is due to neglecting the parameter-dependent log-determinant of the data covariance, which gives more statistical weight to larger values of the standardization parameters. We find a similar effect on compressed distance modulus data. To this end, we implement a fully consistent compression method of the JLA data set that uses a Gaussian approximation of the posterior distribution for fast generation of compressed data. Overall, the results of our analysis emphasize the need for a fully consistent Bayesian statistical approach in the analysis of future large SN Ia data sets.
文献类型期刊论文
条目标识符http://libir.pmo.ac.cn/handle/332002/17047
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Ma, Cong,Corasaniti, Pier-Stefano,Bassett, Bruce A.. Application of Bayesian graphs to SN Ia data analysis and compression[J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,2016,463(2):0.
APA Ma, Cong,Corasaniti, Pier-Stefano,&Bassett, Bruce A..(2016).Application of Bayesian graphs to SN Ia data analysis and compression.MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,463(2),0.
MLA Ma, Cong,et al."Application of Bayesian graphs to SN Ia data analysis and compression".MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 463.2(2016):0.
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