\begin{table}%t4
\caption{\label{table4}The results of the fully periodic $(S=0)$~simulations.}
%\centering
\small
\begin{tabular}{r|cc|cc|cc|cc}
\hline\hline
   & \Correct  & \Incorrect & \Correct & \Incorrect &
     \Correct  & \Incorrect & \Correct & \Incorrect \\
\hline 
     & \multicolumn{8}{|c}{{Case 4A}}                                         \\
     & \multicolumn{8}{|c}{$t_{{i}}$ simulations with $F_{{{\rm AP}}}(t,S=0,\sigma_{{P}}=0.05)$}  \\
$n $ & \multicolumn{2}{|c|}{$H_1$ rejected with $\gamma=0.01$}  & 
       \multicolumn{2}{|c|}{$H_0$ rejected with $\gamma=0.01$}  &
       \multicolumn{2}{|c|}{$H_1$ rejected with $\gamma=0.001$} &
       \multicolumn{2}{|c}{$H_0$ rejected with $\gamma=0.001$} \\
\hline 
      10 & \textbf{1.00} & 0.00 & \textbf{1.00} & 0.00 & 0.993 & 0.000 & 0.559 & 0.000 \\
      25 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\
      50 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\
      75 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\
     100 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\
     200 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\
\hline 
     & \multicolumn{8}{|c}{{Case 4B}}                                         \\
     & \multicolumn{8}{|c}{$t_{{i}}$ simulations with $F_{{{\rm AP}}}(t,S=0,\sigma_{{P}}=0.1)$}  \\
$n $ & \multicolumn{2}{|c|}{$H_2$ rejected with $\gamma=0.01$}  & 
       \multicolumn{2}{|c|}{$H_0$ rejected with $\gamma=0.01$}  &
       \multicolumn{2}{|c|}{$H_2$ rejected with $\gamma=0.001$} &
       \multicolumn{2}{|c}{$H_0$ rejected with $\gamma=0.001$} \\
\hline 
      10 & 0.70 & 0.01 & 0.67 & 0.01 & 0.267 & 0.002 & 0.030 & 0.000 \\
      25 & \textbf{1.00} & 0.00 & \textbf{1.00} & 0.00 & \textbf{1.000} & 0.000 & \textbf{1.000} & 0.000 \\
      50 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\
      75 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\
     100 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\
     200 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\
\hline 
     & \multicolumn{8}{|c}{{Case 4C}}                                         \\
     & \multicolumn{8}{|c}{$t_{{i}}$ simulations with $F_{{{\rm AP}}}(t,S=0,\sigma_{{P}}=0.2)$}  \\
$n $ & \multicolumn{2}{|c|}{$H_3$ rejected with $\gamma=0.01$}  & 
       \multicolumn{2}{|c|}{$H_0$ rejected with $\gamma=0.01$}  &
       \multicolumn{2}{|c|}{$H_3$ rejected with $\gamma=0.001$} &
       \multicolumn{2}{|c}{$H_0$ rejected with $\gamma=0.001$} \\
\hline 
      10 & 0.03 	& 0.01 		& 0.03 		& 0.01 		& 0.005 	& 0.001 	& 0.000 	& 0.000 \\
      25 & 0.31 	& 0.02 		& 0.44 		& 0.03 		& 0.119 	& 0.003 	& 0.173 	& 0.006 \\
      50 & 0.83 	& 0.01\wh 	& 0.92 		& 0.01\wh 	& 0.637 	& 0.003 	& 0.767 	& 0.006 \\
      75 & 0.98 	& 0.00\wh  	& \textbf{0.99} & 0.00\wh  	& 0.935 	& 0.002\wh  	& 0.973 	& 0.002\wh  \\
     100 & \textbf{1.00} & 0.00\wh  	& \textbf{1.00} & 0.00\wh  	& 0.992 	& 0.000\wh  	& 0.998 	& 0.000\wh  \\
     200 & \textbf{1.00} & 0\wh  	& \textbf{1.00} & 0 \wh 	& \textbf{1.000}& 0\wh 		& \textbf{1.000} & 0\wh  \\
\hline 
     & \multicolumn{8}{|c}{{Case 4D}}                                         \\
     & \multicolumn{8}{|c}{$t_{{i}}$ simulations with $F_{{{\rm AP}}}(t,S=0,\sigma_{{P}}=0.3)$}  \\
$n $ & \multicolumn{2}{|c|}{$H_4$ rejected with $\gamma=0.01$}  & 
       \multicolumn{2}{|c|}{$H_0$ rejected with $\gamma=0.01$}  &
       \multicolumn{2}{|c|}{$H_4$ rejected with $\gamma=0.001$} &
       \multicolumn{2}{|c}{$H_0$ rejected with $\gamma=0.001$} \\
\hline
      10 & 0.00 & 0.01 & 0.00 & 0.01 & 0.000 & 0.001 & 0.000 & 0.000 \\
      25 & 0.01 & 0.01 & 0.02 & 0.03 & 0.001 & 0.001 & 0.002 & 0.003 \\
      50 & 0.02 & 0.02 & 0.06 & 0.05 & 0.005 & 0.002 & 0.013 & 0.007 \\
      75 & 0.05 & 0.02 & 0.11 & 0.07 & 0.013 & 0.003 & 0.033 & 0.011 \\
     100 & 0.09 & 0.03 & 0.19 & 0.08 & 0.027 & 0.004 & 0.066 & 0.015 \\
     200 & 0.35 & 0.04 & 0.53 & 0.09 & 0.178 & 0.012 & 0.314 & 0.032 \\
\hline 
\end{tabular}
\end{table}