\begin{table*}[ht]
\centering
\caption{Fisher $1\sigma$ uncertainties on $H_0$ from GW memory. The column $N=100$ gives the constraint from exactly 100 detections within $d_{L,\mathrm{near}}$ (the volume used for Bayesian sampling), computed by Fisher scaling: $\sigma(N_{100}) = \sigma_{N_\mathrm{det}}\sqrt{N_\mathrm{det}/100}$. $N_\mathrm{lo}$ and $N_\mathrm{hi}$ are the expected total detections over the full detectable volume at the low and high merger rate bounds respectively. Each cell shows mean\,$\pm$\,population scatter\,($\sigma_\mathrm{pop}$) with Monte Carlo error in parentheses.}
\label{tab:sigma_H0_combined}
\begin{tabular}{lrrrrrrccc}
\toprule
\multirow{2}{*}{Detector} & \multirow{2}{*}{$T_\mathrm{obs}$} & \multirow{2}{*}{$f_\mathrm{min}$} & \multirow{2}{*}{$N_\mathrm{samp}$} & \multirow{2}{*}{$M_\mathrm{min}$} & \multirow{2}{*}{$M_\mathrm{max}$} & \multirow{2}{*}{Approx.} & \multicolumn{3}{c}{$\sigma_{H_0}$ [km\,s$^{-1}$\,Mpc$^{-1}$]} \\
\cmidrule(lr){8-10}
 & [yr] & [Hz] &  & [$M_\odot$] & [$M_\odot$] &  & $N=100$ & $N_\mathrm{lo}$ & $N_\mathrm{hi}$ \\
\midrule
\multicolumn{10}{l}{\textit{aLIGO/Virgo}} \\
 & 8 & 5 & -- & -- & 100 & MWM & -- & 12.4 $\pm$ 4.4 (0.9) & 7.58 $\pm$ 2.67 (0.53) \\
 & 4 & 5 & -- & -- & 100 & MWM & -- & 12.4 $\pm$ 4.3 (0.9) & 7.58 $\pm$ 2.64 (0.53) \\
 & 16 & 5 & -- & -- & 100 & MWM & -- & 12.3 $\pm$ 4.4 (0.9) & 7.55 $\pm$ 2.68 (0.54) \\
 & 8 & 20 & -- & -- & 100 & MWM & -- & 12.4 $\pm$ 4.3 (0.9) & 7.57 $\pm$ 2.62 (0.52) \\
 & 8 & 40 & -- & -- & 100 & MWM & -- & 14.6 $\pm$ 8.5 (1.7) & 8.92 $\pm$ 5.18 (1.04) \\
 & 8 & 60 & -- & -- & 100 & MWM & -- & 13.8 $\pm$ 4.8 (1.0) & 8.48 $\pm$ 2.96 (0.59) \\
 & 8 & 5 & -- & -- & 80 & MWM & -- & 12.4 $\pm$ 4.2 (0.8) & 7.62 $\pm$ 2.59 (0.52) \\
 & 8 & 5 & -- & -- & 100 & MWM$^\dagger$ & -- & 10.9 $\pm$ 4.7 (0.9) & 6.67 $\pm$ 2.88 (0.58) \\
\midrule
\multicolumn{10}{l}{\textit{ET}} \\
 & 8 & 2 & -- & -- & 100 & MWM & -- & 0.805 $\pm$ 0.823 (0.165) & 0.465 $\pm$ 0.475 (0.095) \\
 & 4 & 2 & -- & -- & 100 & MWM & -- & 0.778 $\pm$ 0.840 (0.168) & 0.449 $\pm$ 0.485 (0.097) \\
 & 16 & 2 & -- & -- & 100 & MWM & -- & 0.852 $\pm$ 0.840 (0.168) & 0.492 $\pm$ 0.485 (0.097) \\
 & 8 & 5 & -- & -- & 100 & MWM & -- & 0.817 $\pm$ 0.837 (0.167) & 0.471 $\pm$ 0.483 (0.097) \\
 & 8 & 20 & -- & -- & 100 & MWM & -- & 0.955 $\pm$ 0.649 (0.130) & 0.551 $\pm$ 0.375 (0.075) \\
 & 8 & 40 & -- & -- & 100 & MWM & -- & 0.731 $\pm$ 0.390 (0.078) & 0.422 $\pm$ 0.225 (0.045) \\
 & 8 & 2 & -- & -- & 80 & MWM & -- & 0.715 $\pm$ 0.567 (0.113) & 0.413 $\pm$ 0.328 (0.066) \\
 & 8 & 2 & -- & -- & 100 & MWM$^\dagger$ & -- & 0.779 $\pm$ 0.840 (0.168) & 0.450 $\pm$ 0.485 (0.097) \\
\midrule
\multicolumn{10}{l}{\textit{CE}} \\
 & 8 & 2 & -- & -- & 100 & MWM & -- & 0.445 $\pm$ 0.405 (0.081) & 0.257 $\pm$ 0.234 (0.047) \\
 & 4 & 2 & -- & -- & 100 & MWM & -- & 0.441 $\pm$ 0.406 (0.081) & 0.255 $\pm$ 0.234 (0.047) \\
 & 16 & 2 & -- & -- & 100 & MWM & -- & 0.444 $\pm$ 0.403 (0.081) & 0.256 $\pm$ 0.233 (0.047) \\
 & 8 & 5 & -- & -- & 100 & MWM & -- & 0.445 $\pm$ 0.405 (0.081) & 0.257 $\pm$ 0.234 (0.047) \\
 & 8 & 20 & -- & -- & 100 & MWM & -- & 0.543 $\pm$ 0.512 (0.102) & 0.314 $\pm$ 0.296 (0.059) \\
 & 8 & 40 & -- & -- & 100 & MWM & -- & 0.458 $\pm$ 0.379 (0.076) & 0.264 $\pm$ 0.219 (0.044) \\
 & 8 & 2 & -- & -- & 80 & MWM & -- & 0.483 $\pm$ 0.438 (0.088) & 0.279 $\pm$ 0.253 (0.051) \\
 & 8 & 2 & -- & -- & 100 & MWM$^\dagger$ & -- & 0.409 $\pm$ 0.395 (0.079) & 0.236 $\pm$ 0.228 (0.046) \\
 & 8 & 2 & -- & -- & 100 & NRSur & -- & 0.472 $\pm$ 0.438 (0.088) & 0.273 $\pm$ 0.253 (0.051) \\
\midrule
\multicolumn{10}{l}{\textit{ET+CE}} \\
 & 8 & 2 & -- & -- & 100 & MWM & -- & 0.500 $\pm$ 0.479 (0.096) & 0.289 $\pm$ 0.276 (0.055) \\
 & 4 & 2 & -- & -- & 100 & MWM & -- & 0.500 $\pm$ 0.479 (0.096) & 0.289 $\pm$ 0.276 (0.055) \\
 & 16 & 2 & -- & -- & 100 & MWM & -- & 0.500 $\pm$ 0.479 (0.096) & 0.289 $\pm$ 0.276 (0.055) \\
 & 8 & 5 & -- & -- & 100 & MWM & -- & 0.501 $\pm$ 0.479 (0.096) & 0.289 $\pm$ 0.277 (0.055) \\
 & 8 & 20 & -- & -- & 100 & MWM & -- & 0.420 $\pm$ 0.307 (0.061) & 0.242 $\pm$ 0.177 (0.035) \\
 & 8 & 40 & -- & -- & 100 & MWM & -- & 0.483 $\pm$ 0.313 (0.063) & 0.279 $\pm$ 0.181 (0.036) \\
 & 8 & 2 & -- & -- & 80 & MWM & -- & 0.541 $\pm$ 0.519 (0.104) & 0.312 $\pm$ 0.300 (0.060) \\
 & 8 & 2 & -- & -- & 100 & MWM$^\dagger$ & -- & 0.457 $\pm$ 0.487 (0.097) & 0.264 $\pm$ 0.281 (0.056) \\
\midrule
\multicolumn{10}{l}{\textit{LISA (light seeds)}} \\
 & -- & -- & 16384 & 10000 & $10^{6}$ & MWM & -- & 109.3 $\pm$ 107.2 (21.4) & 34.6 $\pm$ 33.9 (6.8) \\
 & -- & -- & 4096 & 10000 & $10^{6}$ & MWM & -- & 106.3 $\pm$ 123.7 (24.7) & 33.6 $\pm$ 39.1 (7.8) \\
 & -- & -- & 8192 & 10000 & $10^{6}$ & MWM & -- & 108.9 $\pm$ 106.0 (21.2) & 34.4 $\pm$ 33.5 (6.7) \\
 & -- & -- & 16384 & 10000 & $10^{6}$ & MWM$^\dagger$ & -- & 143.8 $\pm$ 214.0 (42.8) & 45.5 $\pm$ 67.7 (13.5) \\
\midrule
\multicolumn{10}{l}{\textit{LISA (heavy seeds)}} \\
 & -- & -- & 16384 & $10^{6}$ & $10^{8}$ & MWM & -- & 82.6 $\pm$ 110.6 (22.1) & 41.3 $\pm$ 55.3 (11.1) \\
 & -- & -- & 4096 & $10^{6}$ & $10^{8}$ & MWM & -- & 47.6 $\pm$ 73.4 (14.7) & 23.8 $\pm$ 36.7 (7.3) \\
 & -- & -- & 8192 & $10^{6}$ & $10^{8}$ & MWM & -- & 74.7 $\pm$ 103.7 (20.7) & 37.4 $\pm$ 51.9 (10.4) \\
 & -- & -- & 16384 & $10^{6}$ & $10^{8}$ & MWM$^\dagger$ & -- & 56.9 $\pm$ 68.3 (13.7) & 28.4 $\pm$ 34.2 (6.8) \\
 & -- & -- & 16384 & $10^{6}$ & $10^{8}$ & NRSur & -- & 72.8 $\pm$ 98.1 (19.6) & 36.4 $\pm$ 49.0 (9.8) \\
\bottomrule
\multicolumn{10}{l}{\footnotesize $^\dagger$ MWM waveform with NRSur7dq2 prior bounds ($q\geq0.5$, $|\chi|\leq0.8$).}
\end{tabular}
\end{table*}