596 citations · 1.1k across the 19 of their papers we have counts for
8 papers · 1 filter
Optimal Bayes Classifiers for Functional Data and Density Ratios
Xiongtao Dai, Hans-Georg Müller, Fang Yao
Bayes classifiers for functional data pose a challenge. This is because probability density functions do not exist for functional data. As a consequence, the classical Bayes classi…
Single and multiple index functional regression models with nonparametric link
Dong Chen, Peter Hall, Hans-Georg Müller
Fully nonparametric methods for regression from functional data have poor accuracy from a statistical viewpoint, reflecting the fact that their convergence rates are slower than no…
Empirical dynamics for longitudinal data
Hans-Georg Müller, Fang Yao
We demonstrate that the processes underlying on-line auction price bids and many other longitudinal data can be represented by an empirical first order stochastic ordinary differen…
Varying-coefficient functional linear regression
Yichao Wu, Jianqing Fan, Hans-Georg Müller
Functional linear regression analysis aims to model regression relations which include a functional predictor. The analog of the regression parameter vector or matrix in convention…
Functional linear regression via canonical analysis
Guozhong He, Hans-Georg Müller, Jane-Ling Wang +1
We study regression models for the situation where both dependent and independent variables are square-integrable stochastic processes. Questions concerning the definition and exis…
Estimation of functional derivatives
Peter Hall, Hans-Georg Müller, Fang Yao
Situations of a functional predictor paired with a scalar response are increasingly encountered in data analysis. Predictors are often appropriately modeled as square integrable sm…