Bayesian correction of $H(z)$ cosmic chronometers data with systematic errors
We show that the 32 $H(z)$ data from cosmic chronometers have overestimated uncertainties and make use of a Bayesian method to correct and reduce it. We then use the corrected data to constrain flat $Λ$CDM and O$Λ$CDM parameters. For the flat $Λ$CDM model, we got as result $H_{0} = 67.1\pm 4.0$ km s$^{-1}$ Mpc$^{-1}$ and $Ω_{m} = 0.333 ^{+0.041}_{-0.057}$. While for the O$Λ$CDM model, we found $H_{0} = 67.2\pm 4.8$ km s$^{-1}$ Mpc$^{-1}$, $Ω_{m} = 0.36\pm 0.16$ and $Ω_Λ =0.71 ^{+0.36}_{-0.28}$. These results goes from $22\%$ up to $28\%$ uncertainty reduction when compared to the constraints of the both uncorrected models.
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