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Weak convergence of discretely observed functional data with applications.
- Source :
-
Journal of Multivariate Analysis . Apr2016, Vol. 146, p46-62. 17p. - Publication Year :
- 2016
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0047259X
- Volume :
- 146
- Database :
- Academic Search Index
- Journal :
- Journal of Multivariate Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 114002378
- Full Text :
- https://doi.org/10.1016/j.jmva.2015.06.006