随机位移变形分布的估计
Estimation of the distribution of random shifts deformation
摘要：
考虑由未观察到的平移效应移位的函数的离散值，这些平移效应是具有未知分布$μ$的随机变量的独立实现，对每个个体响应的变异性进行建模。我们的目的是构建一个非参数估计的密度，这些随机平移变形的半参数初步估计的移位。基于Dalalyan等人（2006）的结果，在我们的离散框架中获得了半参数估计，并研究了它们的性能。从这些估计，我们构建了一个非参数估计的目标密度。两个速度的收敛和算法来构建的估计。
英文摘要：
Consider discrete values of functions shifted by unobserved translation effects, which are independent realizations of a random variable with unknown distribution $μ$, modeling the variability in the response of each individual. Our aim is to construct a nonparametric estimator of the density of these random translation deformations using semiparametric preliminary estimates of the shifts. Building on results of Dalalyan et al. (2006), semiparametric estimators are obtained in our discrete framework and their performance studied. From these estimates we construct a nonparametric estimator of the target density. Both rates of convergence and an algorithm to construct the estimator are provided.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
