Bayesian correction of $H(z)$ data uncertainties
We compile 41 $H(z)$ data from literature and use them to constrain O$Λ$CDM and flat $Λ$CDM parameters. We show that the available $H(z)$ suffers from uncertainties overestimation and propose a Bayesian method to reduce them. As a result of this method, using $H(z)$ only, we find, in the context of O$Λ$CDM, $H_0=69.5\pm2.5\mathrm{\,km\,s^{-1}Mpc^{-1}}$, $Ω_m=0.242\pm0.036$ and $Ω_Λ=0.68\pm0.14$. In the context of flat $Λ$CDM model, we have found $H_0=70.4\pm1.2\mathrm{\,km\,s^{-1}Mpc^{-1}}$ and $Ω_m=0.256\pm0.014$. This corresponds to an uncertainty reduction of up to 30\% when compared to the uncorrected analysis in both cases.
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