\begin{table}%T3
 %\centering
\par
 \caption{Same as Table \ref{tab:density} after adopting a thick disk velocity
 distribution convolved with the observation errors.  }
\par
\begin{tabular}{rcccccl} \hline\hline
\par
Confid. & \multicolumn{2}{c}{$\psi(V_{\alpha},V_{\delta})$} &
\multicolumn{2}{c}{$h(V_{\alpha},V_{\delta})$} &
\multicolumn{2}{c}{$t(V_{\alpha},V_{\delta}|r)$}\\
level & WDs & $\rho_{\rm WD}$ ($M_{\odot}$ pc$^{-3}$) & WDs &
$\rho_{\rm WD}$
($M_{\odot}$ pc$^{-3}$) & WDs & $\rho_{\rm WD}$ ($M_{\odot}$ pc$^{-3}$) \\
\par
\hline
99\% &  6  & $(1.3\pm 0.8)\times10^{-5}$ &  3 & $(1.2\pm 0.8)\times10^{-5}$ & 3 & $(1.2\pm0.8)\times10^{-5}$\\
95\% &  14  & $(2.0\pm 0.9)\times10^{-5}$ & 5 & $(1.3\pm 0.8)\times10^{-5}$ & 6 & $(1.3 \pm0.8)\times10^{-5}$\\
\hline
\par
\end{tabular}
\par
 \label{tab:convdensity}
\end{table}