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

Ze Zhao

Fig. 2 (Color online) The 1$\sigma$ confidence regions of stretch-luminosity parameter $\beta(z)$ obtained from $\chi^2$ statistics (a)—(c) and Bayesian statistics (d)—(f).for $\Lambda$CDM The results only consider the $\Lambda$CDM model by using the full JLA samples at redshift region [0,1]. And 3 bins, 4 bins and 5 bins are shown in the upper, middle, and lower panel. The gray zone represents the 1$\sigma$ region and the gray dashed line denotes the best-fit result given by the full JLA data.