Bayesian correction of $H(z)$ data uncertainties

Abstract

We compile 41 $H(z)$ data from literature and use them to constrain O$\Lambda$CDM and flat $\Lambda$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$\Lambda$CDM, $H_0=69.5\pm 2.5\mathrm{km}{\mathrm{s}}^{-1}\mathrm{Mp}{\mathrm{c}}^{-1}$, ${\Omega }_m=0.242\pm 0.036$ and ${\Omega }_{\Lambda }=0.68\pm 0.14$. In the context of flat $\Lambda$CDM model, we have found $H_0=70.4\pm 1.2\mathrm{km}{\mathrm{s}}^{-1}\mathrm{Mp}{\mathrm{c}}^{-1}$ and ${\Omega }_m=0.256\pm 0.014$. This corresponds to an uncertainty reduction of up to 30\% when compared to the uncorrected analysis in both cases.

15 pages, 4 figures. New version with a BIC comparison added

References in corpus (8)

• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Bayes in the sky: Bayesian inference and model selection in cosmology
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• The trouble with $H_0$
• Baryon Acoustic Oscillations in the Ly-α forest of BOSS quasars
• Data analysis recipes: Fitting a model to data
• Parameters of cosmological models and recent astronomical observations

Cited by in corpus (15)

• How predictions of cosmological models depend on Hubble parameter data sets
• Model independent constraints on transition redshift
• Likelihood-free Cosmological Constraints with Artificial Neural Networks: An Application on Hubble Parameters and SNe Ia
• The Scale-Invariant Vacuum (SIV) Theory: A Possible Origin of Dark Matter and Dark Energy
• Constraining power of cosmological observables: blind redshift spots and optimal ranges
• Cosmography from well-localized Fast Radio Bursts
• Search for the $f(R,T)$ gravity functional form via gaussian processes
• Beta Function Quintessence Cosmological Parameters and Fundamental Constants II: Exponential and Logarithmic Dark Energy Potentials
• Reconstruction of the dark energy scalar field potential by Gaussian process
• Phantom Dirac-Born-Infeld Dark Energy
• Beta Function Quintessence Cosmological Parameters and Fundamental Constants I: Power and Inverse Power Law Dark Energy Potentials
• Predicting extragalactic distance errors using Bayesian inference in multi-measurement catalogs
• Testing bound dark energy with cosmological parameter and fundamental constant evolution
• Estimating Cosmological Parameters and Reconstructing Hubble Constant with Artificial Neural Networks: A Test with covariance matrix and mock H(z)
• Kinematic reconstruction of torsion as dark energy in Friedmann cosmology