针对含有系统误差的线性回归模型Yn=Xnβ+Iη+e,研究了参数β和η估计的性质。当随机误差和设计矩阵满足一定的条件时,考虑η和β估计的r阶平均相合性。在0〈r〈1和r≥1两种不同的取值范围内,分别证明了其估计η(n)和β(n)的r阶平均相合性。
In the linear regression model Yn=Xnβ+Iη+e containing systematic errors,the characters of the estimates of the parameter β and η are studied.When a random error and a design matrix meet certain conditions,the r-moment mean consistency of the estimates of the η and β is considered.In the two different ranges of the 0r1 and r≥1,the r-moment mean consistency of the estimates η(n) and β(n) has been proven respectively.