1\begin{table}[t]2\centering\scriptsize3\begin{threeparttable}4\caption{Unequal block sizes (Proposition~\ref{prop:robust}): RMS of $\sqrt N\,\lVert\tilde\theta - \widehat\theta_N\rVert$ for size-weighted and equal-weight aggregation of the raw and half-block-jackknife local estimates, with $q = 0, 1, 2$ Newton corrections. Sizes grow geometrically with max/min ratio as shown; $N \approx 2^{18}$.}\label{tab:skew}5\begin{tabular}{@{}llrrllrrr@{}}6\toprule7Model & $K$ & ratio & reps & weights & pilot & $q=0$ & $q=1$ & $q=2$ \\8\midrule9exponential & 256 & 1 & 1000 & equal & jack2 & 0.062 & 1.24e-5 & 8.52e-13 \\10exponential & 256 & 1 & 1000 & equal & raw & 0.501 & 4.97e-4 & 5.13e-10 \\11exponential & 256 & 1 & 1000 & weighted & jack2 & 0.062 & 1.24e-5 & 8.52e-13 \\12exponential & 256 & 1 & 1000 & weighted & raw & 0.501 & 4.97e-4 & 5.13e-10 \\13exponential & 256 & 4 & 1000 & equal & jack2 & 0.441 & 6.71e-4 & 2.96e-9 \\14exponential & 256 & 4 & 1000 & equal & raw & 0.735 & 0.002 & 1.03e-8 \\15exponential & 256 & 4 & 1000 & weighted & jack2 & 0.064 & 1.37e-5 & 1.13e-12 \\16exponential & 256 & 4 & 1000 & weighted & raw & 0.503 & 5.02e-4 & 5.25e-10 \\17exponential & 256 & 16 & 1000 & equal & jack2 & 0.943 & 0.003 & 5.96e-8 \\18exponential & 256 & 16 & 1000 & equal & raw & 1.321 & 0.006 & 1.78e-7 \\19exponential & 256 & 16 & 1000 & weighted & jack2 & 0.062 & 1.28e-5 & 1.05e-12 \\20exponential & 256 & 16 & 1000 & weighted & raw & 0.500 & 4.95e-4 & 5.07e-10 \\21exponential & 1024 & 4 & 1000 & equal & jack2 & 0.447 & 6.83e-4 & 3.06e-9 \\22exponential & 1024 & 4 & 1000 & equal & raw & 2.415 & 0.012 & 3.50e-7 \\23exponential & 1024 & 4 & 1000 & weighted & jack2 & 0.123 & 5.26e-5 & 2.04e-11 \\24exponential & 1024 & 4 & 1000 & weighted & raw & 2.009 & 0.008 & 1.24e-7 \\25exponential & 1024 & 16 & 1000 & equal & jack2 & 0.994 & 0.003 & 6.41e-8 \\26exponential & 1024 & 16 & 1000 & equal & raw & 3.917 & 0.033 & 3.05e-6 \\27exponential & 1024 & 16 & 1000 & weighted & jack2 & 0.133 & 5.70e-5 & 1.83e-11 \\28exponential & 1024 & 16 & 1000 & weighted & raw & 2.012 & 0.008 & 1.25e-7 \\29logistic & 256 & 1 & 300 & equal & jack2 & 0.508 & 2.85e-4 & 1.33e-9 \\30logistic & 256 & 1 & 300 & equal & raw & 4.034 & 0.014 & 1.77e-7 \\31logistic & 256 & 1 & 300 & weighted & jack2 & 0.508 & 2.85e-4 & 1.33e-9 \\32logistic & 256 & 1 & 300 & weighted & raw & 4.034 & 0.014 & 1.77e-7 \\33logistic & 256 & 4 & 300 & equal & jack2 & 2.025 & 0.004 & 3.67e-8 \\34logistic & 256 & 4 & 300 & equal & raw & 5.096 & 0.025 & 8.06e-7 \\35logistic & 256 & 4 & 300 & weighted & jack2 & 0.522 & 3.09e-4 & 1.35e-9 \\36logistic & 256 & 4 & 300 & weighted & raw & 3.998 & 0.014 & 1.70e-7 \\37logistic & 256 & 16 & 300 & equal & jack2 & 4.383 & 0.020 & 7.36e-7 \\38logistic & 256 & 16 & 300 & equal & raw & 8.944 & 0.083 & 1.02e-5 \\39logistic & 256 & 16 & 300 & weighted & jack2 & 0.526 & 3.29e-4 & 1.36e-9 \\40logistic & 256 & 16 & 300 & weighted & raw & 4.061 & 0.014 & 1.84e-7 \\41logistic & 1024 & 4 & 300 & equal & jack2 & 3.611 & 0.014 & 3.54e-7 \\42logistic & 1024 & 4 & 300 & equal & raw & 19.797 & 0.345 & 1.09e-4 \\43logistic & 1024 & 4 & 300 & weighted & jack2 & 2.102 & 0.005 & 4.00e-8 \\44logistic & 1024 & 4 & 300 & weighted & raw & 16.619 & 0.240 & 5.00e-5 \\45logistic & 1024 & 16 & 300 & equal & jack2 & 1821.070 & 2.09e+6 & 1.81e+15 \\46logistic & 1024 & 16 & 300 & equal & raw & 34.580 & 1.076 & 0.001 \\47logistic & 1024 & 16 & 300 & weighted & jack2 & 372.695 & 1.35e+4 & 3.49e+8 \\48logistic & 1024 & 16 & 300 & weighted & raw & 17.226 & 0.258 & 5.78e-5 \\49\bottomrule50\end{tabular}51\begin{tablenotes}\footnotesize52\item Source: \texttt{results/processed/skew\_summary.csv}.53\end{tablenotes}54\end{threeparttable}55\end{table}56