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

Ze Zhao

Fig. 4 (Color online) The evolution of $\beta(z)$ for CPL, JBP, BA and Wang models obtained from $\chi^2$ statistics (a)—(d) and Bayesian statistics (e)—(h).The results based on the full JLA samples at redshift region [0,1]. The blue region denotes the 1$\sigma$ confidence region of $\alpha$ for the case of constant $\alpha$ and $\beta$. The red solid line corresponds to the 1$\sigma$ boundary for the case of linear $\alpha$ and $\beta$.