密度水平集:渐近性、推断与可视化

Density Level Sets: Asymptotics, Inference, and Visualization

Journal of the American Statistical Association · 2016
被引 81
ABS 4

中文导读

研究了密度水平集的插件估计量在豪斯多夫损失下的渐近理论,基于此开发了两种自举置信区域,并引入了一种易于解释且计算高效的多维可视化方法。

Abstract

We study the plug-in estimator for density level sets under Hausdorff loss. We derive asymptotic theory for this estimator, and based on this theory, we develop two bootstrap confidence regions for level sets. We introduce a new technique for visualizing density level sets, even in multidimensions, which is easy to interpret and efficient to compute. Supplementary materials for this article are available online.

密度估计非参数统计统计推断数据可视化