有协变量的推广增长曲线模型回归参数的估计  

Estimation of unknown regression coefficient matrices in the extension of the Growth Curve Model with covariate variables

作　　者：桂咏新[1] 严国义[2] 

机构地区：[1]咸宁学院数学系,湖北咸宁437005 [2]华中师范大学数学与统计学学院,湖北武汉430079

出　　处：《黄冈师范学院学报》2004年第3期17-20,26,共5页Journal of Huanggang Normal University

摘　　要：考虑有协变量的推广增长曲线模型中参数的估计问题,本文利用矩阵理论和递归算法,给出了二重推广增长曲线模型中回归系数阵在trace意义下的最小二乘估计的具体表达式,其结果形式简洁,便于解释.Considering parameter problem in the extension of the Growth Curve Model with covariate variables, we use matrix theory and recursive arithmetic to deduce the concrete forms of Least Square Estimate about unknown regression coefficient matrix when confining m=2 under the meaning of trace. Its result is concise and easy to explain.

关 键 词：有协变量 推广增长曲线模型 回归参数 参数估计 矩阵 递归算法 最小二乘估计 

分 类 号：O212.1[理学—概率论与数理统计]