\begin{table}%T5
\caption{\label{tab:mmax_test}HOD parameters for SDSS luminosity-threshold samples.}
\small%\centerline
{
\begin{tabular}{lll}
\hline\hline
Parameter &
$M_{r} < -21$ &
$M_{r} < -19$ \\
\hline\noalign{\smallskip}
$M_{\rm max(cen)}$& $1.03 \times 10^{13}$  & $5.44 \times 10^{11}$ \\
$M_{1}$ & $1.93 \times 10^{14}$  &$6.09 \times 10^{12}$ \\
$\alpha$ & 1.25 &  0.97 \\
$M_{\rm cut}$ & $7.24 \times 10^{7}$ & $1.78\times 10^{9}$\\
$f$ & --  &  0.40 \\
68\% $M_{\rm max(cen)}$ minimum &  $9.45\times 10^{12}$  & $3.92 \times 10^{11}$ \\
68\% $M_{\rm max(cen)}$ maximum &  $1.13\times10^{13}$ & $6.33\times 10^{11}$ \\
\hline
 \end{tabular}}
\smallskip
 Note: all masses are in $h^{-1}~M_{\odot}$.
\end{table}