对于增长曲线模型Y=X1BX′2+ε,E(ε)=O,D(ε)=D(Vecε)=V2V1,在V1,V2均为非负定矩阵的情况下,利用最小二乘统一理论及矩阵拉直方法,给出了未知参数阵B的可估矩阵函数Z1BZ′2的最佳线性无偏估计,将有关文献的结果推广到更一般的情况。
Considerating the Growth Curve Model,Y=X1BX′2+ε,E(ε)=O,D(ε)=D(Vec,ε)=V2V1,By utilizing the unified theory of least square and the matrix-vectorizing method,this paper gives one form of the best linear unbiased estimator of parametermatrix B's estimatable matrice function under the conditon that V1≥0,V2≥0.