The maximumlikelihoodestimator for population average treatment effect is proved to be consistent, unbiased and asymptotically normal.
并且证明了在正态分布的假设下，该总体平均因果效应的极大似然估计是相合无偏且渐近正态的。
2
Under the normal distribution, the maximumlikelihoodestimator for the population parameter is proved to be unbiased and asymptotically normal.
证明了此统计量是渐近正态的，并利用蒙特卡罗方法对统计量的渐进分布做了统计模拟。
3
By employing the concept of statistical curvatures, the information loss of the maximumlikelihoodestimator and the generalized least squares estimator is investigated.