Abstract This article discusses use of the composite estimator with the optimal weight to reduce the variance (or the mean-squared-error, MSE) of the ratio estimator. To study the practical usefulness of the proposed composite estimator, a Monte Carlo simulation is performed comparing the bias and MSE of composite estimators (with estimated optimal weight and with known optimal weight) with those of the simple expansion and the ratio estimators. Two examples, one regarding the estimation of dead fir trees via an aerial photo and the other regarding the estimation of the average sugarcane acres per county, are included to illustrate the use of the composite estimator developed here.

中文翻译：

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使用复合估算器的注意事项：比率估算器的改进

摘要本文讨论了使用具有最佳权重的复合估计量来减少比率估计量的方差（或均方误差，MSE）。为了研究所提出的复合估计量的实用性，进行了蒙特卡罗模拟，将复合估计量（具有估计的最佳权重和已知的最佳权重）与简单扩展和比率估计量的偏差和MSE进行了比较。包括两个示例，一个关于通过航拍照片估算死枞树，另一个关于每个县的平均甘蔗英亩的估算，以说明此处开发的复合估算器的使用。