# Nonparametric density estimation for functional data by delta sequences

@article{Rao2010NonparametricDE, title={Nonparametric density estimation for functional data by delta sequences}, author={B. L. S. Prakasa Rao}, journal={Brazilian Journal of Probability and Statistics}, year={2010}, volume={24}, pages={468-478} }

We consider the problem of estimation of density function by the method of delta sequences for functional data with values in an infinite dimensional separable Banach space.

## 13 Citations

Nonparametric Density Estimation for Functional Data via Wavelets

- Mathematics
- 2010

We consider the problem of estimation of the density function for functional data with values in a complete separable metric space or normed vector space by the method of wavelets under the…

Nonparametric Density Estimation for Functional Data via Wavelets

- 2010

We consider the problem of estimation of the density function for functional data with values in a complete separable metric space or normed vector space by the method of wavelets under the…

Nonparametric density estimation for spatial functional random variables by delta sequences

- Mathematics
- 2010

We consider the problem of estimation of a probability density function, by the method of delta sequences, for data with values in a semi-metric space.

Nonparametric Estimation for Functional Data by Wavelet Thresholding

- Mathematics
- 2011

This paper deals with the density and regression estimation problems for functional data. Using wavelet bases for Hilbert spaces of functions, we develop a new adaptive procedure based on wavelet…

Regression operator estimation by delta-sequences method for functional data and its applications

- Mathematics
- 2012

In this paper, we introduce a somewhat more general class of nonparametric estimators (delta-sequences estimators) for estimating an unknown regression operator from noisy data. The regressor is…

Nonparametric density estimation for intentionally corrupted functional data

- Mathematics, Computer Science
- 2019

It is shown that the corrupted observations have a Wiener density which determines the distribution of the original functional random variables, masked near the origin, uniquely, and a nonparametric estimator of that density is constructed.

Local convergency rate of MSE in density estimation using the second-order modulus of smoothness

- Mathematics
- 2017

ABSTRACT In this article, the local convergence rate of the mean square error (MSE) corresponding to a delta sequence-based density estimators is investigated by using second-order modulus of…

Quantifying the closeness to a set of random curves via the mean marginal likelihood

- MathematicsESAIM: Probability and Statistics
- 2021

In this paper, we tackle the problem of quantifying the closeness of a newly observed curve to a given sample of random functions, supposed to have been sampled from the same distribution. We define…

REPEATED MEASURES ANALYSIS FOR FUNC- TIONAL DATA USING BOX-TYPE APPROXIMA- TION-WITH APPLICATIONS

- 2017

• The repeated measures analysis for functional data is investigated. In the literature, the test statistic for the two-sample problem when data are from the same subject is considered.…

Nonparametric modelling for functional data: selected survey and tracks for future

- MathematicsStatistics
- 2018

ABSTRACT Nonparametric functional data analysis is a field whose development started some 15 years ago and there is a very extensive literature on the topic (hundreds of papers published now). The…

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