On the Polynomial Functional Relationship
提出在误差协方差矩阵已知或已知至比例因子时，多项式函数关系模型中系数的一致估计方法；针对二次函数关系，给出误差非正态时的一致估计量及大样本检验。
SUMMARY A method for obtaining consistent estimators of the coefficients in a polynomial functional relationship model with normal errors is proposed when the error covariance matrix is either completely known or known up to a proportionality factor. For quadratic functional relationships with possibly non-normal errors, we present a consistent estimator when the error covariance matrix is known. A large sample test of the quadratic against the linear functional relationship is also suggested in this case.