|$H_0$| posterior from the Bayesian hierarchical model in equation (23) in the presence of observational uncertainties for nine random SNIa data sets at |$z<0.023$|⁠, after wrongly assuming |$H_0=63$| km s|$^{-1}$| Mpc|$^{-1}$| when the data have been generated with |$H_{0,\mathrm{true}} = 67.77$| km s|$^{-1}$| Mpc|$^{-1}$|⁠. The dotted line represents the true |$H_{0,\mathrm{true}}$| in the SIBELIUS simulation. The data sets contain |$N_\mathrm{SN} \sim$| 165 SNeIa each, determined by the number of available 2M++ realizations and sources in the ZTF BTS Sample Explorer.