We propose local polynomial estimators for the conditional mean of a continuous response when only pooled response data are collected under different pooling designs. Asymptotic properties of these estimators are investigated and compared. Extensive simulation studies are carried out to compare finite sample performance of the proposed estimators under various model settings and pooling strategies. We apply the proposed local polynomial regression methods to two real-life applications to illustrate practical implementation and performance of the estimators for the mean function.

中文翻译：

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汇总响应数据的局部多项式回归


当在不同池设计下仅收​​集池响应数据时，我们提出了连续响应的条件均值的局部多项式估计量。研究并比较了这些估计量的渐近特性。进行了广泛的模拟研究，以比较所提出的估计器在各种模型设置和池化策略下的有限样本性能。我们将所提出的局部多项式回归方法应用于两个现实生活中的应用，以说明平均函数估计器的实际实现和性能。