优比简单半序约束下的最大似然估计

Maximum Likelihood Estimation for Odd Ratios under Simple Order Restriction

优比在列联表中是一个很重要的概念,其在序约束下的估计问题有着较强的现实意义。该文讨论了k张2×2表优比简单半序约束下期望频数的最大似然估计问题,给出了求最大似然估计的一种迭代算法,并证明了此算法的收敛性。

Odd ratios is very important in contingency table. Estimating problems under order restrictions are of practical importance. 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.