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

Ze Zhao

Fig. 8 (Color online) The evolution of the deceleration parameter $q(z)$ for CPL, JBP, BA and Wang model given by $\chi^2$ and Bayesian statistics. The results based on the JLA only (a)—(d) and combined JLA+CMB+GC data (e)—(h). in which the absolute B-band magnitude $M_B$ are marginalized. The blue region denotes the 1$\sigma$ region of $q(z)$ for the case of $\chi^2$ statistics with constant $\alpha$ and $\beta$. The red solid line corresponds to the 1$\sigma$ boundary for the case of Bayesian statistics with linear $\alpha$ and $\beta$.