Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1145210 | Journal of Multivariate Analysis | 2016 | 17 Pages |
Abstract
A general result on weak convergence of the empirical measure of discretely observed functional data is shown. It is applied to the problem of estimation of functional mean value, and the problem of consistency of various types of depth for functional data. Counterexamples illustrating the fact that the assumptions as stated cannot be dropped easily are given.
Related Topics
Physical Sciences and Engineering
Mathematics
Numerical Analysis
Authors
Stanislav Nagy, Irène Gijbels, Daniel Hlubinka,