Constraints on AvERA cosmologies from cosmic chronometers and type Ia supernovae

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Table 1.

Model fit and test results for CC data.

Parameter/Statistic	AvERA-135k	AvERA-320k	AvERA-625k	AvERA-1080k	Flat ΛCDM
H₀	$69 . 02_{- 3.27}^{+ 3.27}$ $69.02_{-3.27}^{+3.27}$	$68 . 67_{- 3.28}^{+ 3.25}$ $68.67_{-3.28}^{+3.25}$	$68 . 32_{- 3.27}^{+ 3.21}$ $68.32_{-3.27}^{+3.21}$	$67 . 86_{- 3.23}^{+ 3.23}$ $67.86_{-3.23}^{+3.23}$	$66 . 59_{- 5.40}^{+ 5.26}$ $66.59_{-5.40}^{+5.26}$
Ω_m, 0	0.332^*	0.299^*	0.279^*	0.266^*	$0 . 336_{- 0.063}^{+ 0.076}$ $0.336_{-0.063}^{+0.076}$

χ²	19.17	19.32	19.14	18.94	14.59
log₁₀ℬ (NS)	0.202	0.252	0.206	0.154	0
log₁₀ℬ (AD)	0.013	0 (0.553)	0.004	0.001	0.550

Notes. Best-fit parameter values and model comparison statistics for the CC dataset. H₀ is given in kilometers per second per megaparsec. Simulated values of Ω_m, 0 values for the AvERA models (marked with asterisk) are also included for reference. The χ² values were computed using the best-fit parameters. Bayes factors are reported for both the nested sampling evidence [log₁₀ℬ (NS)] and the AD test [log₁₀ℬ (AD)], as is defined in the main text. While the nested sampling favors the flat ΛCDM model, the highest AD-test p value is associated with the AvERA-320k model, corresponding to ${log}_{10} p_{\max}^{- 1} = 0.553$ $\log_{10}p^{-1}_{\mathrm{max}} = 0.553$ (shown in parentheses). However, both Bayes-factor measures indicate only weak preferences.

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