Nonparametric regression estimation for dependent functional data: asymptotic normality
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Publication:2485822
DOI10.1016/j.spa.2004.07.006zbMath1101.62031OpenAlexW1969944392MaRDI QIDQ2485822
Publication date: 5 August 2005
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spa.2004.07.006
Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Non-Markovian processes: estimation (62M09)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonparametric function estimation for time series by local average estimators
- Strong consistency and rates for deconvolution of multivariate densities of stationary processes
- Nonparametric regression estimation under mixing conditions
- Strong uniform convergence rates in robust nonparametric time series analysis and prediction: Kernel regression estimation from dependent observations
- Nonparametric curve estimation from time series
- Multivariate regression estimation with errors-in-variables: Asymptotic normality for mixing processes
- Functional data analysis
- Applied functional data analysis. Methods and case studies
- Some Limit Theorems for Random Functions. I
- NONPARAMETRIC ESTIMATORS FOR TIME SERIES
- Weak and strong uniform consistency of kernel regression estimates
- Nonparametric Estimation of the Mode of A Distribution of Random Curves
- Nonparametric models for functional data, with application in regression, time series prediction and curve discrimination
- Joint Asymptotic Distribution of the Estimated Regression Function at a Finite Number of Distinct Points
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