圆域上的二元二次多项式回归模型的D-最优设计  

D-Optimal Design for Duality Quadratic Polynomial Regression Models in Circle Region

作　　者：孔庆海[1] 

机构地区：[1]东北大学理学院,辽宁沈阳

出　　处：《应用数学进展》2019年第7期1239-1242,共4页Advances in Applied Mathematics

摘　　要：对圆域上的二元二次多项式回归模型在遵循设计点“对称 + 均匀”的前提下,给出并证明其特定的内接正方形的顶点和圆心组成的饱和设计是D-最优设计,并给出了相应设计的最小二乘估计,是把最优设计理论应用到多元多项式回归模型的又一有益的尝试。For duality quadratic polynomial regression models in circle region,D-op designs were given and proved according to the criterion“Symmetry+Uniform”with four vertexes of special square and central angle in Circle,and the least squares estimates were given,It is a very useful attempt to apply optimal design theory to polynomial regression models.

关 键 词：回归模型 D-最优设计 测度 饱和设计 最小二乘估计 

分 类 号：O21[理学—概率论与数理统计]