Empirical likelihood confidence intervals for nonparametric functional data analysis

DOI10.1016/J.JSPI.2012.02.008zbMath1238.62057arXiv0904.0843OpenAlexW2093357218MaRDI QIDQ419261

Heng Lian

Publication date: 18 May 2012

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.0843

zbMATH Keywords

Wilk's theoremnonparametric functional data analysisstrong mixing data

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric estimation (62G05) Nonparametric tolerance and confidence regions (62G15)

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Uses Software

• fda (R)

Cites Work

• Unnamed Item
• Unnamed Item
• Empirical likelihood ratio confidence regions
• Regression models for functional data by reproducing kernel Hilbert spaces methods
• Empirical likelihood inference for partial linear models under martingale difference sequence
• Empirical likelihood for heteroscedastic partially linear models
• Extending the scope of empirical likelihood
• When the data are functions
• Empirical likelihood and general estimating equations
• Functional data analysis
• Empirical likelihood for partially linear models
• Nonparametric regression estimation for dependent functional data: asymptotic normality
• Semi-functional partial linear regression
• Nonparametric functional data analysis. Theory and practice.
• Nonparametric regression for functional data: automatic smoothing parameter selection
• Nonlinear functional models for functional responses in reproducing kernel hilbert spaces
• Empirical Likelihood Semiparametric Regression Analysis for Longitudinal Data
• k-Nearest Neighbour method in functional nonparametric regression
• Empirical likelihood ratio confidence intervals for a single functional
• Empirical likelihood confidence intervals for nonparametric density estimation
• Linear functional regression: The case of fixed design and functional response
• Nonparametric models for functional data, with application in regression, time series prediction and curve discrimination
• NONPARAMETRIC REGRESSION ON FUNCTIONAL DATA: INFERENCE AND PRACTICAL ASPECTS

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