This work derives a finite population delta method. The delta method creates more general inference results when coupled with central limit theorem results for the finite population. This opens up a range of new estimators for which we can find finite population asymptotic properties. We focus on the use of this method to derive asymptotic distributional results and variance expressions for causal estimators. We illustrate the use of the method by obtaining a finite population asymptotic distribution for a causal ratio estimator.

中文翻译：

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关于有限总体推断的 delta 方法及其因果推断应用的注意事项

这项工作推导出了一个有限人口增量法。当与有限总体的中心极限定理结果相结合时，delta 方法会产生更一般的推理结果。这开辟了一系列新的估计量，我们可以找到它们的有限总体渐近性质。我们专注于使用这种方法来推导因果估计量的渐近分布结果和方差表达式。我们通过获得因果比估计量的有限总体渐近分布来说明该方法的使用。