\begin{table}[t]
\centering\small
\begin{threeparttable}
\caption{Empirical log-log slopes of the RMS scaled gap to $\widehat\theta_N$ against $m$ at fixed $N$ (largest $N$ of each design), with the slopes predicted by the leading bias term.}\label{tab:mc_rates}
\begin{tabular}{@{}llrrrrrrrrr@{}}
\toprule
Design & $p$ & $N$ & r1\_q0 & r1\_q1 & r1\_q2 & r2\_q0 & r2\_q1 & r3\_q0 & r3\_q1 & cs\_q1 \\
predicted & & & -1 & -2 & -4 & -2 & -4 & -3 & -6 & -4 \\
\midrule
exp & 1 & 262,144 & -1.02 & -2.04 & -4.10 & -1.18 & -2.24 & -0.98 & -1.87 & -1.04 \\
pois & 8 & 262,144 & -1.00 & -1.98 & -3.87 & -0.61 & -1.15 & -0.54 & -1.05 & -1.00 \\
\bottomrule
\end{tabular}
\begin{tablenotes}\footnotesize
\item Slopes are least-squares fits over the available $m$ grid; they approach the predicted exponent only where the bias term dominates the random remainder and the sample is in the asymptotic regime. The predicted slope for the Cox--Snell + 1 Newton estimator assumes an exact first-order bias formula ($-4$). Source: \texttt{results/processed/summary.csv}.
\end{tablenotes}
\end{threeparttable}
\end{table}