Adaptive estimation of the mode of a multivariate density

DOI10.1080/10485250410001723151zbMath1055.62036OpenAlexW1988610636MaRDI QIDQ4651091

Jussi Klemelä

Publication date: 21 February 2005

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485250410001723151

zbMATH Keywords

kernel estimationbandwidth selectionminimax riskadaptive curve estimation

Mathematics Subject Classification ID

Density estimation (62G07) Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20)

Related Items (11)

Estimation of the global mode of a density: minimaxity, adaptation, and computational complexity ⋮ On general consistency in deconvolution mode estimation ⋮ The Modal Age of Statistics ⋮ Minimax estimation of the mode of functional data ⋮ Nonparametric ridge estimation ⋮ Multiscale inference for a multivariate density with applications to X-ray astronomy ⋮ Efficient estimation of the mode of continuous multivariate data ⋮ Optimal two-stage procedures for estimating location and size of the maximum of a multivariate regression function ⋮ The snake for visualizing and for counting clusters in multivariate data ⋮ Limit distribution theory for maximum likelihood estimation of a log-concave density ⋮ Inference for the mode of a log-concave density

Cites Work

• Geometrizing rates of convergence. III
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• Adaptive nonparametric peak estimation
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• On the minimisation of \(L^ p\) error in mode estimation
• The adaptive rate of convergence in a problem of pointwise density estimation
• Asymptotically Minimax Adaptive Estimation. I: Upper Bounds. Optimally Adaptive Estimates
• Excess Mass Estimates and Tests for Multimodality
• Asymptotically Minimax Adaptive Estimation. II. Schemes without Optimal Adaptation: Adaptive Estimators
• On the Asymptotic Normality of the Mode of Multidimensional Distributions
• On a Problem of Adaptive Estimation in Gaussian White Noise
• Some Direct Estimates of the Mode
• On Estimation of a Probability Density Function and Mode

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