Some Estimators of a Population Total From Simple Random Samples Containing Large Units
研究了从包含少数大或极端观测值的简单随机样本中估计总体总量的方法，提出了三种调整抽样权重的估计量，并通过均方误差比评估其效率。
Abstract The problem considered is the estimation of the population total of some characteristic from a simple random sample containing a few large or extreme observations. The effect of these large units in the sample is to distort the estimate of the population total. It is therefore important to correct the weights for such units or deflate their values at the estimation stage once they have been sampled and identified as unusually large units. In this paper, three estimators that alter the usual sampling weights have been considered. The efficiencies of these estimators have been worked out in terms of the ratio of the mean squared error of the usual estimator of the population total to the mean squared error of these estimators. A numerical study of these estimators is also discussed.