\begin{table}%T4
 %\centering
\par
 \caption{Same as Table \ref{tab:density1} after adopting a thick disk velocity
 distribution convolved with the observation errors.  }
\par
% \begin{footnotesize}
\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\% &  14  & $(1.2\pm 0.5)\times10^{-5}$ &  8 & $(0.7\pm 0.4)\times10^{-5}$ &  5 & $(0.6\pm0.4)\times10^{-5}$\\
95\% &  18  & $(1.7\pm 0.6)\times10^{-5}$ &  14 & $(1.2\pm 0.5)\times10^{-5}$ & 9 & $(1.0 \pm0.5)\times10^{-5}$\\
\hline
\par
\end{tabular}
% \end{footnotesize}
 \label{tab:convdensity1}
\end{table}