Rates of consistency for nonparametric estimation of the mode in absence of smoothness assumptions

DOI10.1016/j.spl.2004.04.005zbMath1086.62046OpenAlexW1991962122MaRDI QIDQ1881236

Eva Herrmann, Klaus Ziegler

Publication date: 4 October 2004

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://www.db-thueringen.de/servlets/MCRFileNodeServlet/dbt_derivate_00008620/IfM_Preprint_M_03_14.pdf

zbMATH Keywords

kernel smoothingcurve estimationrate of consistencynonsmooth curves

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)

Related Items (17)

A note on the convergence rate of the kernel density estimator of the mode ⋮ A Statistical Learning Approach to Modal Regression ⋮ Strong Consistency Rate for the Kernel Mode Estimator Under Strong Mixing Hypothesis and Left Truncation ⋮ Some results about kernel estimators for function derivatives based on stationary and ergodic continuous time processes with applications ⋮ On general consistency in deconvolution mode estimation ⋮ Asymptotic normality of the regression mode in the nonparametric random design model for censored data ⋮ On the strong uniform consistency of the mode estimator for censored time series ⋮ Minimax estimation of the mode of functional data ⋮ Some asymptotic properties of kernel regression estimators of the mode for stationary and ergodic continuous time processes ⋮ Uniform rate of strong consistency for a smooth kernel estimator of the conditional mode for censored time series ⋮ A kernel mode estimate under random left truncation and time series model: asymptotic normality ⋮ Limit distribution theory for maximum likelihood estimation of a log-concave density ⋮ Bivariate density estimation using BV regularisation ⋮ On optimal estimation of a non-smooth mode in a nonparametric regression model with \(\alpha \)-mixing errors ⋮ Inference for the mode of a log-concave density ⋮ Asymptotics for function derivatives estimators based on stationary and ergodic discrete time processes ⋮ Kernel estimators of mode under \(\psi\)-weak dependence

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