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Bayesian Model Comparison of $R_h=ct$ versus $Λ$CDM using HII galaxy Hubble diagram

Yuva Himanshu Pallam, Shantanu Desai

Abstract

We complement a recent analysis comparing $R_\mathrm{h}=ct$ with $Λ$CDM/$w$CDM using HII galaxies and giant extragalactic HII regions, by carrying out Bayesian model comparison. For this purpose, we calculate the Bayes factors for $R_\mathrm{h}=ct$ compared to flat $Λ$CDM/$w$CDM using the same dataset. When we use uniform priors on cosmological parameters, we find that the Bayes factors are close to 1, implying that $R_\mathrm{h}=ct$ is equally favored compared to $Λ$CDM/$w$CDM. However, when we use normal priors on cosmological parameters based on Planck cosmology, we find that $R_\mathrm{h}=ct$ is strongly favored over flat $Λ$CDM, while $R_\mathrm{h}=ct$ is marginally favored over flat $w$CDM.

Bayesian Model Comparison of $R_h=ct$ versus $Λ$CDM using HII galaxy Hubble diagram

Abstract

We complement a recent analysis comparing with CDM/CDM using HII galaxies and giant extragalactic HII regions, by carrying out Bayesian model comparison. For this purpose, we calculate the Bayes factors for compared to flat CDM/CDM using the same dataset. When we use uniform priors on cosmological parameters, we find that the Bayes factors are close to 1, implying that is equally favored compared to CDM/CDM. However, when we use normal priors on cosmological parameters based on Planck cosmology, we find that is strongly favored over flat CDM, while is marginally favored over flat CDM.

Paper Structure

This paper contains 7 sections, 15 equations, 3 figures, 6 tables.

Table of Contents

  1. Introduction
  2. Analysis and Results
  3. Accounting for intrinsic scatter in observables
  4. Results of Bayesian model comparison
  5. Conclusions
  6. Comparison of BIC
  7. Sensitivity of BF to different prior choices

Figures (3)

  • Figure 1: The marginalized 68% and 95% credible intervals for the parameters $\alpha,\beta,H_0$ and $\Omega_m$ in flat $\Lambda$CDM.
  • Figure 2: The marginalized 68% and 95% credible intervals for the parameters $\alpha,\beta,H_0$ in $R_\mathrm{h}=ct$.
  • Figure 3: The marginalized 68% and 95% credible intervals for the parameters $\alpha,\beta,H_0,\Omega_m$ and $w_{\mathrm{de}}$ in the (flat) $w$CDM.