A note on the convergence rate of the kernel density estimator of the mode

DOI10.1016/j.spl.2009.05.015zbMath1489.62118OpenAlexW2028917385MaRDI QIDQ840810

Baiqi Miao, Yuehua Wu, Xiao Ping Shi

Publication date: 14 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.spl.2009.05.015

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items (6)

Consistency of the frequency polygon estimators of density mode for strongly mixing processes ⋮ Minimax estimation of the mode of functional data ⋮ On the consistency of mode estimate for spatially dependent data ⋮ A Statistical Test of Change-Point in Mean that Almost Surely Has Zero Error Probabilities ⋮ Modal Principal Component Analysis ⋮ Kernel estimators of mode under \(\psi\)-weak dependence

Cites Work

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• Rates of consistency for nonparametric estimation of the mode in absence of smoothness assumptions
• A note on density mode estimation
• On the minimisation of \(L^ p\) error in mode estimation
• Moderate deviations for the kernel mode estimator and some applications
• The law of the iterated logarithm for the multivariate kernel mode estimator
• On Non-Parametric Estimates of Density Functions and Regression Curves
• On Strong Consistency of Density Estimates
• On Estimation of a Probability Density Function and Mode

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