不等式约束下线性模型中线性估计的可容许性  

Admissibility of Linear Estimators in Linear Models with Respect to Inequality Constraints

作　　者：吴鉴洪 陈学琴[2] 

机构地区：[1]华东师范大学统计系,上海200062 [2]宜春学院,江西336000

出　　处：《数学学报（中文版）》2006年第6期1403-1410,共8页Acta Mathematica Sinica：Chinese Series

摘　　要：研究了线性模型在不等式约束条件下齐次和非齐次线性估计的可容许性,刻画了两者之间的关系,得到了不等式约束条件下非齐次线性估计可容许性的充要条件．Admissibility of both homogeneous and inhomogeneous linear estimators is investigated in linear models with respect to inequality constraints. The relation between admissibility of the two types of estimators is derived. Under some conditions, sufficient and necessary conditions for the admissibility of inhomogeneous linear estimators with respect to inequality constraints are given.

关 键 词：可容许性 不等式约束 齐次/非齐次线性估计 

分 类 号：O212.7[理学—概率论与数理统计]