均匀设计抽样的应用

均匀设计抽样是张润楚和王兆军提出的，并且张润楚和王兆军从理论上证明了它的优良性质。本文考虑了均匀设计抽样在求函数的最大值，积分的近似计算，回归直线的拟合和极大似然估计的求取方面的应用。模拟的结果再次说明了均匀设计抽样的优良性。

A NOTE ON PARAMETER ESTIMATION IN GROWTH CURVE MODELS

For normal growth curve models with the serial covariance structure, it is proved that there is no uniformly minimum variance unbiased estimator of the variance under some condition. Another necessary and sufficient existence condition is given for the uniformly minimum risk unbiased estimator of any linearly estimable function of the matrix of regression coefficients under the condition of arbitrary convex loss.