23 citations · 26 across the 4 of their papers we have counts for
4 papers · 1 filter
Nonparametric Estimation of Means on Hilbert Manifolds and Extrinsic Analysis of Mean Shapes of Contours
Leif Ellingson, Vic Patrangenaru, Frits Ruymgaart
Motivated by the problem of nonparametric inference in high level digital image analysis, we introduce a general extrinsic approach for data analysis on Hilbert manifolds with a fo…
The delta method for analytic functions of random operators with application to functional data
J. Cupidon, D. S. Gilliam, R. Eubank +1
In this paper, the asymptotic distributions of estimators for the regularized functional canonical correlation and variates of the population are derived. The method is based on th…
On moment-density estimation in some biased models
Robert M. Mnatsakanov, Frits H. Ruymgaart
This paper concerns estimating a probability density function based on iid observations from , where the weight function and the total weight $W=\int…
Asymptotically efficient estimation of linear functionals in inverse regression models
Chris A. J. Klaassen, Eun-Joo Lee, Frits H. Ruymgaart
In this paper we will discuss a procedure to improve the usual estimator of a linear functional of the unknown regression function in inverse nonparametric regression models. In Kl…