论文标题
合并响应数据的本地多项式回归
Local polynomial regression for pooled response data
论文作者
论文摘要
当仅在不同的合并设计下收集汇总响应数据时，我们提出了局部多项式估计器，以进行连续响应的条件均值。研究并比较了这些估计量的渐近特性。进行了广泛的仿真研究，以比较在各种模型设置和汇总策略下提出的估计器的有限样本性能。我们将提出的局部多项式回归方法应用于两个现实生活应用，以说明平均函数的估计器的实际实现和性能。
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.
