Uniform in bandwidth rate of convergence of the conditional mode estimate on functional stationary ergodic data

DOI10.1016/j.jkss.2015.05.001zbMath1333.60055OpenAlexW794984512MaRDI QIDQ2633965

Naâmane Laïb, Djamal Louani

Publication date: 5 February 2016

Published in: Journal of the Korean Statistical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jkss.2015.05.001

zbMATH Keywords

strong consistencyergodic processesfunctional datamartingale differenceconditional mode estimationbandwidth interval

Mathematics Subject Classification ID

Density estimation (62G07) Strong limit theorems (60F15) Large deviations (60F10)

Related Items (1)

Uniform limit theorems for a class of conditional \(Z\)-estimators when covariates are functions

Uses Software

• fda (R)

Cites Work

• A general result on the uniform in bandwidth consistency of kernel-type function estimators
• Nonparametric kernel regression estimation for functional stationary ergodic data: Asymptotic properties
• Rates of strong consistencies of the regression function estimator for functional stationary ergodic data
• Functional data analysis
• Kernel estimates of the mean and the volatility functions in a nonlinear autoregressive model with ARCH errors
• Nonparametric functional data analysis. Theory and practice.
• Advances on asymptotic normality in non-parametric functional time series analysis
• Dimension fractale et estimation de la régression dans des espaces vectoriels semi-normés
• On Estimation of a Probability Density Function and Mode

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