Comparison Between $\chi^2$ and Bayesian Statistics with Considering the Redshift Dependence of Stretch and Color from JLA Data

Ze Zhao

Table 2 Cosmology-fits results given by $\chi^2$ statistics and Bayesian statistics for CPL, JBP, BA and Wang models. “$\chi^2$ const” denotes $\chi^2$ statistics with constant $\alpha$ and $\beta$. “Bayesian const” represents Bayesian statistics with constant $\alpha$ and $\beta$. “Bayesian linear” corresponds to Bayesian statistics with linear $\alpha$ and $\beta$. Both the best-fit result and the 1$\sigma$ errors of various parameters, as well as the corresponding results of FoM are listed in this table. The combined JLA+CMB+GC data are used in the analysis.