Convergence rate of kernel regression estimation for time series data when both response and covariate are functional
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Publication:2189762
DOI10.1007/s00184-019-00757-yzbMath1442.62771OpenAlexW2995150450MaRDI QIDQ2189762
Lingyu Wang, Philippe Vieu, Nengxiang Ling
Publication date: 16 June 2020
Published in: Metrika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00184-019-00757-y
convergence ratefunctional data analysisstrong mixing dependencefunctional kernel regression estimator
Density estimation (62G07) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Functional data analysis (62R10)
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- An introduction to recent advances in high/infinite dimensional statistics
- A partial overview of the theory of statistics with functional data
- Inference for functional data with applications
- Regression when both response and predictor are functions
- Nonparametric regression for functional response and functional regressor under dependance
- Uniform consistency of a class of regression function estimators for Banach-space valued random variables
- Data-driven bandwidth choice for density estimation based on dependent data
- Rate of uniform consistency for nonparametric estimates with functional variables
- Mixing: Properties and examples
- Linear processes in function spaces. Theory and applications
- Recent advances in functional data analysis and high-dimensional statistics
- Convergence of functional \(k\)-nearest neighbor regression estimate with functional responses
- Kernel regression with functional response
- Functional data analysis.
- Nonparametric functional data analysis. Theory and practice.
- Error variance estimation in semi-functional partially linear regression models
- Nonparametric modelling for functional data: selected survey and tracks for future
- Linear functional regression: The case of fixed design and functional response
- Functional Additive Models