论文标题
密度模型中的结构适应
Structural adaptation in the density model
论文作者
论文摘要
本文处理了I.I.D观察值的$ \ br^2 $的非参数密度估计。假定坐标系未知旋转后，观测值是独立的随机变量，其密度属于具有未知参数的Hölder类。开发了该结构统计模型的最小值和自适应最小值理论。
This paper deals with non-parametric density estimation on $\bR^2$ from i.i.d observations. It is assumed that after unknown rotation of the coordinate system the coordinates of the observations are independent random variables whose densities belong to a Hölder class with unknown parameters. The minimax and adaptive minimax theories for this structural statistical model are developed.
