The simplified procedure in China has more superiority at some aspects:the applied scope of cases?the way of trial and the advantages that a defendant can obtain.

Due to the limit of the present system design,there are such problems as low efficiency and single channel in dispute settlement in China s civil procedure,which makes it necessary to strengthen the role of preliminary trial,reform the simplified procedure and transform the court mediation into court-affiliated ADR.

Nowadays, many other countries began to design and apply the simplified procedure to divide up the cases and the trend is diversified.

The paper considers the MLEs of expected frequencies for odd ratios under simple order restrictions, and gives an iterative algorithm to compute the restricted MLEs,and proves the convergence of the algorithm.

The paper considers the MLEs of expected frequencies for relative risk under simple order restrictions,and gives an iterative algorithm to compute the restricted MLEs,and proves the convergence of the algorithm.

The paper considers the MLEs of expected frequencies for odd ratios under simple order restrictions, and gives an iterative algorithm to compute the restricted MLEs,and proves the convergence of the algorithm.

The simple procedure,added in administrative procedural law,may ease the conflicts of more administrative cases and judicial resource shortage.

Since simplifying the proceedings is the mainstream,the simple procedure becomes the focus of widespread attention in the world.