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

Ze Zhao

Fig. 6 (Color online) The 1D marginalized probability distributions of $\Omega_{m0}$ for CPL, JBP, BA and Wang models given by different statistical methods. We apply $\chi^2$ statistics with constant $\alpha$, $\beta$ (red solid line), Bayesian statistics with constant $\alpha$, $\beta$ (black dotted line) and Bayesian statistics with linear $\alpha$, $\beta$ (blue dashed line) based on full JLA data.