\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}